Strictly Invariant Submodules

Abstract If M is an R-module, we study the submodules %$K\le M%$ with the property that K is invariant with respect to all monomorphisms %$K\rightarrow M%$. Such submodules are called strictly invariant. For the case of %$ \mathbb {Z}%$-modules (i.e. Abelian groups), we prove that in many situations...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Breaz, Simion [verfasserIn] Călugăreanu, Grigore Chekhlov, Andrey

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Strictly invariant submodule strongly invariant submodule Abelian group strictly invariant subgroup

Anmerkung:	© Springer Nature Switzerland AG 2019

Übergeordnetes Werk:	Enthalten in: Mediterranean journal of mathematics - Basel : Birkhäuser, 2004, 16(2019), 4 vom: 16. Juli
Übergeordnetes Werk:	volume:16 ; year:2019 ; number:4 ; day:16 ; month:07

Links:	Volltext

DOI / URN:	10.1007/s00009-019-1379-x

Katalog-ID:	SPR000134961

Internformat


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520			\|a Abstract If M is an R-module, we study the submodules %$K\le M%$ with the property that K is invariant with respect to all monomorphisms %$K\rightarrow M%$. Such submodules are called strictly invariant. For the case of %$ \mathbb {Z}%$-modules (i.e. Abelian groups), we prove that in many situations these submodules are invariant with respect to all homomorphisms %$ K\rightarrow M%$, submodules which were called strongly invariant.
650		4	\|a Strictly invariant submodule \|7 (dpeaa)DE-He213
650		4	\|a strongly invariant submodule \|7 (dpeaa)DE-He213
650		4	\|a Abelian group \|7 (dpeaa)DE-He213
650		4	\|a strictly invariant subgroup \|7 (dpeaa)DE-He213
700	1		\|a Călugăreanu, Grigore \|0 (orcid)0000-0002-3353-6958 \|4 aut
700	1		\|a Chekhlov, Andrey \|4 aut
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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_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_267
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_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_2070
912			\|a GBV_ILN_2086
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_2116
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2119
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_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_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4700
951			\|a AR
952			\|d 16 \|j 2019 \|e 4 \|b 16 \|c 07

Indexfelder

author_variant	s b sb g c gc a c ac
matchkey_str	article:16605454:2019----::titynains
hierarchy_sort_str	2019
publishDate	2019
allfields	10.1007/s00009-019-1379-x doi (DE-627)SPR000134961 (SPR)s00009-019-1379-x-e DE-627 ger DE-627 rakwb eng Breaz, Simion verfasserin aut Strictly Invariant Submodules 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract If M is an R-module, we study the submodules %$K\le M%$ with the property that K is invariant with respect to all monomorphisms %$K\rightarrow M%$. Such submodules are called strictly invariant. For the case of %$ \mathbb {Z}%$-modules (i.e. Abelian groups), we prove that in many situations these submodules are invariant with respect to all homomorphisms %$ K\rightarrow M%$, submodules which were called strongly invariant. Strictly invariant submodule (dpeaa)DE-He213 strongly invariant submodule (dpeaa)DE-He213 Abelian group (dpeaa)DE-He213 strictly invariant subgroup (dpeaa)DE-He213 Călugăreanu, Grigore (orcid)0000-0002-3353-6958 aut Chekhlov, Andrey aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 16(2019), 4 vom: 16. Juli (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:16 year:2019 number:4 day:16 month:07 https://dx.doi.org/10.1007/s00009-019-1379-x 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 16 2019 4 16 07
spelling	10.1007/s00009-019-1379-x doi (DE-627)SPR000134961 (SPR)s00009-019-1379-x-e DE-627 ger DE-627 rakwb eng Breaz, Simion verfasserin aut Strictly Invariant Submodules 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract If M is an R-module, we study the submodules %$K\le M%$ with the property that K is invariant with respect to all monomorphisms %$K\rightarrow M%$. Such submodules are called strictly invariant. For the case of %$ \mathbb {Z}%$-modules (i.e. Abelian groups), we prove that in many situations these submodules are invariant with respect to all homomorphisms %$ K\rightarrow M%$, submodules which were called strongly invariant. Strictly invariant submodule (dpeaa)DE-He213 strongly invariant submodule (dpeaa)DE-He213 Abelian group (dpeaa)DE-He213 strictly invariant subgroup (dpeaa)DE-He213 Călugăreanu, Grigore (orcid)0000-0002-3353-6958 aut Chekhlov, Andrey aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 16(2019), 4 vom: 16. Juli (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:16 year:2019 number:4 day:16 month:07 https://dx.doi.org/10.1007/s00009-019-1379-x 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 16 2019 4 16 07
allfields_unstemmed	10.1007/s00009-019-1379-x doi (DE-627)SPR000134961 (SPR)s00009-019-1379-x-e DE-627 ger DE-627 rakwb eng Breaz, Simion verfasserin aut Strictly Invariant Submodules 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract If M is an R-module, we study the submodules %$K\le M%$ with the property that K is invariant with respect to all monomorphisms %$K\rightarrow M%$. Such submodules are called strictly invariant. For the case of %$ \mathbb {Z}%$-modules (i.e. Abelian groups), we prove that in many situations these submodules are invariant with respect to all homomorphisms %$ K\rightarrow M%$, submodules which were called strongly invariant. Strictly invariant submodule (dpeaa)DE-He213 strongly invariant submodule (dpeaa)DE-He213 Abelian group (dpeaa)DE-He213 strictly invariant subgroup (dpeaa)DE-He213 Călugăreanu, Grigore (orcid)0000-0002-3353-6958 aut Chekhlov, Andrey aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 16(2019), 4 vom: 16. Juli (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:16 year:2019 number:4 day:16 month:07 https://dx.doi.org/10.1007/s00009-019-1379-x 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 16 2019 4 16 07
allfieldsGer	10.1007/s00009-019-1379-x doi (DE-627)SPR000134961 (SPR)s00009-019-1379-x-e DE-627 ger DE-627 rakwb eng Breaz, Simion verfasserin aut Strictly Invariant Submodules 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract If M is an R-module, we study the submodules %$K\le M%$ with the property that K is invariant with respect to all monomorphisms %$K\rightarrow M%$. Such submodules are called strictly invariant. For the case of %$ \mathbb {Z}%$-modules (i.e. Abelian groups), we prove that in many situations these submodules are invariant with respect to all homomorphisms %$ K\rightarrow M%$, submodules which were called strongly invariant. Strictly invariant submodule (dpeaa)DE-He213 strongly invariant submodule (dpeaa)DE-He213 Abelian group (dpeaa)DE-He213 strictly invariant subgroup (dpeaa)DE-He213 Călugăreanu, Grigore (orcid)0000-0002-3353-6958 aut Chekhlov, Andrey aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 16(2019), 4 vom: 16. Juli (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:16 year:2019 number:4 day:16 month:07 https://dx.doi.org/10.1007/s00009-019-1379-x 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 16 2019 4 16 07
allfieldsSound	10.1007/s00009-019-1379-x doi (DE-627)SPR000134961 (SPR)s00009-019-1379-x-e DE-627 ger DE-627 rakwb eng Breaz, Simion verfasserin aut Strictly Invariant Submodules 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract If M is an R-module, we study the submodules %$K\le M%$ with the property that K is invariant with respect to all monomorphisms %$K\rightarrow M%$. Such submodules are called strictly invariant. For the case of %$ \mathbb {Z}%$-modules (i.e. Abelian groups), we prove that in many situations these submodules are invariant with respect to all homomorphisms %$ K\rightarrow M%$, submodules which were called strongly invariant. Strictly invariant submodule (dpeaa)DE-He213 strongly invariant submodule (dpeaa)DE-He213 Abelian group (dpeaa)DE-He213 strictly invariant subgroup (dpeaa)DE-He213 Călugăreanu, Grigore (orcid)0000-0002-3353-6958 aut Chekhlov, Andrey aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 16(2019), 4 vom: 16. Juli (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:16 year:2019 number:4 day:16 month:07 https://dx.doi.org/10.1007/s00009-019-1379-x 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 16 2019 4 16 07
language	English
source	Enthalten in Mediterranean journal of mathematics 16(2019), 4 vom: 16. Juli volume:16 year:2019 number:4 day:16 month:07
sourceStr	Enthalten in Mediterranean journal of mathematics 16(2019), 4 vom: 16. Juli volume:16 year:2019 number:4 day:16 month:07
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Strictly invariant submodule strongly invariant submodule Abelian group strictly invariant subgroup
isfreeaccess_bool	false
container_title	Mediterranean journal of mathematics
authorswithroles_txt_mv	Breaz, Simion @@aut@@ Călugăreanu, Grigore @@aut@@ Chekhlov, Andrey @@aut@@
publishDateDaySort_date	2019-07-16T00:00:00Z
hierarchy_top_id	394566831
id	SPR000134961
language_de	englisch
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author	Breaz, Simion
spellingShingle	Breaz, Simion misc Strictly invariant submodule misc strongly invariant submodule misc Abelian group misc strictly invariant subgroup Strictly Invariant Submodules
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topic_title	Strictly Invariant Submodules Strictly invariant submodule (dpeaa)DE-He213 strongly invariant submodule (dpeaa)DE-He213 Abelian group (dpeaa)DE-He213 strictly invariant subgroup (dpeaa)DE-He213
topic	misc Strictly invariant submodule misc strongly invariant submodule misc Abelian group misc strictly invariant subgroup
topic_unstemmed	misc Strictly invariant submodule misc strongly invariant submodule misc Abelian group misc strictly invariant subgroup
topic_browse	misc Strictly invariant submodule misc strongly invariant submodule misc Abelian group misc strictly invariant subgroup
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Strictly Invariant Submodules
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title_full	Strictly Invariant Submodules
author_sort	Breaz, Simion
journal	Mediterranean journal of mathematics
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author_browse	Breaz, Simion Călugăreanu, Grigore Chekhlov, Andrey
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format_se	Elektronische Aufsätze
author-letter	Breaz, Simion
doi_str_mv	10.1007/s00009-019-1379-x
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title_sort	strictly invariant submodules
title_auth	Strictly Invariant Submodules
abstract	Abstract If M is an R-module, we study the submodules %$K\le M%$ with the property that K is invariant with respect to all monomorphisms %$K\rightarrow M%$. Such submodules are called strictly invariant. For the case of %$ \mathbb {Z}%$-modules (i.e. Abelian groups), we prove that in many situations these submodules are invariant with respect to all homomorphisms %$ K\rightarrow M%$, submodules which were called strongly invariant. © Springer Nature Switzerland AG 2019
abstractGer	Abstract If M is an R-module, we study the submodules %$K\le M%$ with the property that K is invariant with respect to all monomorphisms %$K\rightarrow M%$. Such submodules are called strictly invariant. For the case of %$ \mathbb {Z}%$-modules (i.e. Abelian groups), we prove that in many situations these submodules are invariant with respect to all homomorphisms %$ K\rightarrow M%$, submodules which were called strongly invariant. © Springer Nature Switzerland AG 2019
abstract_unstemmed	Abstract If M is an R-module, we study the submodules %$K\le M%$ with the property that K is invariant with respect to all monomorphisms %$K\rightarrow M%$. Such submodules are called strictly invariant. For the case of %$ \mathbb {Z}%$-modules (i.e. Abelian groups), we prove that in many situations these submodules are invariant with respect to all homomorphisms %$ K\rightarrow M%$, submodules which were called strongly invariant. © Springer Nature Switzerland AG 2019
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title_short	Strictly Invariant Submodules
url	https://dx.doi.org/10.1007/s00009-019-1379-x
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author2	Călugăreanu, Grigore Chekhlov, Andrey
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doi_str	10.1007/s00009-019-1379-x
up_date	2024-07-03T14:09:53.710Z
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