%$I^\times C%$-Semirings

Abstract A semiring is a generalization of a unitary ring whose additive reduct does not form a group. Therefore, in semirings not every multiplicatively idempotent element is complement, necessarily. In this paper, we introduce and study a new class of semirings in which every multiplicatively idem...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Deldar, Forough [verfasserIn] Ghalandarzadeh, Shaban Namdari, Mehrdad

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Almost p.p. semiring Complemented Idempotent p.p. semiring von Neumann regular

Anmerkung:	© The Author(s) under exclusive licence to Iranian Mathematical Society 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:	Enthalten in: Bulletin of the Iranian Mathematical Society - Singapore : Springer Singapore, 2001, 48(2022), 6 vom: 28. Nov., Seite 3971-3986
Übergeordnetes Werk:	volume:48 ; year:2022 ; number:6 ; day:28 ; month:11 ; pages:3971-3986

Links:	Volltext

DOI / URN:	10.1007/s41980-022-00730-y

Katalog-ID:	SPR048916439

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520			\|a Abstract A semiring is a generalization of a unitary ring whose additive reduct does not form a group. Therefore, in semirings not every multiplicatively idempotent element is complement, necessarily. In this paper, we introduce and study a new class of semirings in which every multiplicatively idempotent element is complemented. We call this class of semirings, %$\varvec{I}^\times \varvec{C}%$-semirings, and give some properties of von Neumann regular %$\varvec{I}^\times \varvec{C}%$-semirings.
650		4	\|a Almost p.p. semiring \|7 (dpeaa)DE-He213
650		4	\|a Complemented \|7 (dpeaa)DE-He213
650		4	\|a Idempotent \|7 (dpeaa)DE-He213
650		4	\|a p.p. semiring \|7 (dpeaa)DE-He213
650		4	\|a von Neumann regular \|7 (dpeaa)DE-He213
700	1		\|a Ghalandarzadeh, Shaban \|4 aut
700	1		\|a Namdari, Mehrdad \|4 aut
773	0	8	\|i Enthalten in \|t Bulletin of the Iranian Mathematical Society \|d Singapore : Springer Singapore, 2001 \|g 48(2022), 6 vom: 28. Nov., Seite 3971-3986 \|w (DE-627)573093903 \|w (DE-600)2440200-X \|x 1735-8515 \|7 nnns
773	1	8	\|g volume:48 \|g year:2022 \|g number:6 \|g day:28 \|g month:11 \|g pages:3971-3986
856	4	0	\|u https://dx.doi.org/10.1007/s41980-022-00730-y \|z lizenzpflichtig \|3 Volltext
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912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_206
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_266
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4328
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
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allfields	10.1007/s41980-022-00730-y doi (DE-627)SPR048916439 (SPR)s41980-022-00730-y-e DE-627 ger DE-627 rakwb eng Deldar, Forough verfasserin aut %$I^\times C%$-Semirings 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive licence to Iranian Mathematical Society 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract A semiring is a generalization of a unitary ring whose additive reduct does not form a group. Therefore, in semirings not every multiplicatively idempotent element is complement, necessarily. In this paper, we introduce and study a new class of semirings in which every multiplicatively idempotent element is complemented. We call this class of semirings, %$\varvec{I}^\times \varvec{C}%$-semirings, and give some properties of von Neumann regular %$\varvec{I}^\times \varvec{C}%$-semirings. Almost p.p. semiring (dpeaa)DE-He213 Complemented (dpeaa)DE-He213 Idempotent (dpeaa)DE-He213 p.p. semiring (dpeaa)DE-He213 von Neumann regular (dpeaa)DE-He213 Ghalandarzadeh, Shaban aut Namdari, Mehrdad aut Enthalten in Bulletin of the Iranian Mathematical Society Singapore : Springer Singapore, 2001 48(2022), 6 vom: 28. Nov., Seite 3971-3986 (DE-627)573093903 (DE-600)2440200-X 1735-8515 nnns volume:48 year:2022 number:6 day:28 month:11 pages:3971-3986 https://dx.doi.org/10.1007/s41980-022-00730-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 48 2022 6 28 11 3971-3986
spelling	10.1007/s41980-022-00730-y doi (DE-627)SPR048916439 (SPR)s41980-022-00730-y-e DE-627 ger DE-627 rakwb eng Deldar, Forough verfasserin aut %$I^\times C%$-Semirings 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive licence to Iranian Mathematical Society 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract A semiring is a generalization of a unitary ring whose additive reduct does not form a group. Therefore, in semirings not every multiplicatively idempotent element is complement, necessarily. In this paper, we introduce and study a new class of semirings in which every multiplicatively idempotent element is complemented. We call this class of semirings, %$\varvec{I}^\times \varvec{C}%$-semirings, and give some properties of von Neumann regular %$\varvec{I}^\times \varvec{C}%$-semirings. Almost p.p. semiring (dpeaa)DE-He213 Complemented (dpeaa)DE-He213 Idempotent (dpeaa)DE-He213 p.p. semiring (dpeaa)DE-He213 von Neumann regular (dpeaa)DE-He213 Ghalandarzadeh, Shaban aut Namdari, Mehrdad aut Enthalten in Bulletin of the Iranian Mathematical Society Singapore : Springer Singapore, 2001 48(2022), 6 vom: 28. Nov., Seite 3971-3986 (DE-627)573093903 (DE-600)2440200-X 1735-8515 nnns volume:48 year:2022 number:6 day:28 month:11 pages:3971-3986 https://dx.doi.org/10.1007/s41980-022-00730-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 48 2022 6 28 11 3971-3986
allfields_unstemmed	10.1007/s41980-022-00730-y doi (DE-627)SPR048916439 (SPR)s41980-022-00730-y-e DE-627 ger DE-627 rakwb eng Deldar, Forough verfasserin aut %$I^\times C%$-Semirings 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive licence to Iranian Mathematical Society 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract A semiring is a generalization of a unitary ring whose additive reduct does not form a group. Therefore, in semirings not every multiplicatively idempotent element is complement, necessarily. In this paper, we introduce and study a new class of semirings in which every multiplicatively idempotent element is complemented. We call this class of semirings, %$\varvec{I}^\times \varvec{C}%$-semirings, and give some properties of von Neumann regular %$\varvec{I}^\times \varvec{C}%$-semirings. Almost p.p. semiring (dpeaa)DE-He213 Complemented (dpeaa)DE-He213 Idempotent (dpeaa)DE-He213 p.p. semiring (dpeaa)DE-He213 von Neumann regular (dpeaa)DE-He213 Ghalandarzadeh, Shaban aut Namdari, Mehrdad aut Enthalten in Bulletin of the Iranian Mathematical Society Singapore : Springer Singapore, 2001 48(2022), 6 vom: 28. Nov., Seite 3971-3986 (DE-627)573093903 (DE-600)2440200-X 1735-8515 nnns volume:48 year:2022 number:6 day:28 month:11 pages:3971-3986 https://dx.doi.org/10.1007/s41980-022-00730-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 48 2022 6 28 11 3971-3986
allfieldsGer	10.1007/s41980-022-00730-y doi (DE-627)SPR048916439 (SPR)s41980-022-00730-y-e DE-627 ger DE-627 rakwb eng Deldar, Forough verfasserin aut %$I^\times C%$-Semirings 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive licence to Iranian Mathematical Society 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract A semiring is a generalization of a unitary ring whose additive reduct does not form a group. Therefore, in semirings not every multiplicatively idempotent element is complement, necessarily. In this paper, we introduce and study a new class of semirings in which every multiplicatively idempotent element is complemented. We call this class of semirings, %$\varvec{I}^\times \varvec{C}%$-semirings, and give some properties of von Neumann regular %$\varvec{I}^\times \varvec{C}%$-semirings. Almost p.p. semiring (dpeaa)DE-He213 Complemented (dpeaa)DE-He213 Idempotent (dpeaa)DE-He213 p.p. semiring (dpeaa)DE-He213 von Neumann regular (dpeaa)DE-He213 Ghalandarzadeh, Shaban aut Namdari, Mehrdad aut Enthalten in Bulletin of the Iranian Mathematical Society Singapore : Springer Singapore, 2001 48(2022), 6 vom: 28. Nov., Seite 3971-3986 (DE-627)573093903 (DE-600)2440200-X 1735-8515 nnns volume:48 year:2022 number:6 day:28 month:11 pages:3971-3986 https://dx.doi.org/10.1007/s41980-022-00730-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 48 2022 6 28 11 3971-3986
allfieldsSound	10.1007/s41980-022-00730-y doi (DE-627)SPR048916439 (SPR)s41980-022-00730-y-e DE-627 ger DE-627 rakwb eng Deldar, Forough verfasserin aut %$I^\times C%$-Semirings 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive licence to Iranian Mathematical Society 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract A semiring is a generalization of a unitary ring whose additive reduct does not form a group. Therefore, in semirings not every multiplicatively idempotent element is complement, necessarily. In this paper, we introduce and study a new class of semirings in which every multiplicatively idempotent element is complemented. We call this class of semirings, %$\varvec{I}^\times \varvec{C}%$-semirings, and give some properties of von Neumann regular %$\varvec{I}^\times \varvec{C}%$-semirings. Almost p.p. semiring (dpeaa)DE-He213 Complemented (dpeaa)DE-He213 Idempotent (dpeaa)DE-He213 p.p. semiring (dpeaa)DE-He213 von Neumann regular (dpeaa)DE-He213 Ghalandarzadeh, Shaban aut Namdari, Mehrdad aut Enthalten in Bulletin of the Iranian Mathematical Society Singapore : Springer Singapore, 2001 48(2022), 6 vom: 28. Nov., Seite 3971-3986 (DE-627)573093903 (DE-600)2440200-X 1735-8515 nnns volume:48 year:2022 number:6 day:28 month:11 pages:3971-3986 https://dx.doi.org/10.1007/s41980-022-00730-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 48 2022 6 28 11 3971-3986
language	English
source	Enthalten in Bulletin of the Iranian Mathematical Society 48(2022), 6 vom: 28. Nov., Seite 3971-3986 volume:48 year:2022 number:6 day:28 month:11 pages:3971-3986
sourceStr	Enthalten in Bulletin of the Iranian Mathematical Society 48(2022), 6 vom: 28. Nov., Seite 3971-3986 volume:48 year:2022 number:6 day:28 month:11 pages:3971-3986
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Almost p.p. semiring Complemented Idempotent p.p. semiring von Neumann regular
isfreeaccess_bool	false
container_title	Bulletin of the Iranian Mathematical Society
authorswithroles_txt_mv	Deldar, Forough @@aut@@ Ghalandarzadeh, Shaban @@aut@@ Namdari, Mehrdad @@aut@@
publishDateDaySort_date	2022-11-28T00:00:00Z
hierarchy_top_id	573093903
id	SPR048916439
language_de	englisch
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author	Deldar, Forough
spellingShingle	Deldar, Forough misc Almost p.p. semiring misc Complemented misc Idempotent misc p.p. semiring misc von Neumann regular %$I^\times C%$-Semirings
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topic_title	%$I^\times C%$-Semirings Almost p.p. semiring (dpeaa)DE-He213 Complemented (dpeaa)DE-He213 Idempotent (dpeaa)DE-He213 p.p. semiring (dpeaa)DE-He213 von Neumann regular (dpeaa)DE-He213
topic	misc Almost p.p. semiring misc Complemented misc Idempotent misc p.p. semiring misc von Neumann regular
topic_unstemmed	misc Almost p.p. semiring misc Complemented misc Idempotent misc p.p. semiring misc von Neumann regular
topic_browse	misc Almost p.p. semiring misc Complemented misc Idempotent misc p.p. semiring misc von Neumann regular
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title	%$I^\times C%$-Semirings
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author_browse	Deldar, Forough Ghalandarzadeh, Shaban Namdari, Mehrdad
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doi_str_mv	10.1007/s41980-022-00730-y
title_sort	%$i^\times c%$-semirings
title_auth	%$I^\times C%$-Semirings
abstract	Abstract A semiring is a generalization of a unitary ring whose additive reduct does not form a group. Therefore, in semirings not every multiplicatively idempotent element is complement, necessarily. In this paper, we introduce and study a new class of semirings in which every multiplicatively idempotent element is complemented. We call this class of semirings, %$\varvec{I}^\times \varvec{C}%$-semirings, and give some properties of von Neumann regular %$\varvec{I}^\times \varvec{C}%$-semirings. © The Author(s) under exclusive licence to Iranian Mathematical Society 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstractGer	Abstract A semiring is a generalization of a unitary ring whose additive reduct does not form a group. Therefore, in semirings not every multiplicatively idempotent element is complement, necessarily. In this paper, we introduce and study a new class of semirings in which every multiplicatively idempotent element is complemented. We call this class of semirings, %$\varvec{I}^\times \varvec{C}%$-semirings, and give some properties of von Neumann regular %$\varvec{I}^\times \varvec{C}%$-semirings. © The Author(s) under exclusive licence to Iranian Mathematical Society 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstract_unstemmed	Abstract A semiring is a generalization of a unitary ring whose additive reduct does not form a group. Therefore, in semirings not every multiplicatively idempotent element is complement, necessarily. In this paper, we introduce and study a new class of semirings in which every multiplicatively idempotent element is complemented. We call this class of semirings, %$\varvec{I}^\times \varvec{C}%$-semirings, and give some properties of von Neumann regular %$\varvec{I}^\times \varvec{C}%$-semirings. © The Author(s) under exclusive licence to Iranian Mathematical Society 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
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container_issue	6
title_short	%$I^\times C%$-Semirings
url	https://dx.doi.org/10.1007/s41980-022-00730-y
remote_bool	true
author2	Ghalandarzadeh, Shaban Namdari, Mehrdad
author2Str	Ghalandarzadeh, Shaban Namdari, Mehrdad
ppnlink	573093903
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doi_str	10.1007/s41980-022-00730-y
up_date	2024-07-03T22:14:37.183Z
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score	7.401991

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