On additively commutative near-ring congruences on seminearrings
Abstract In the class of natural seminearrings i.e., the seminearrings of all self-maps of additive semigroups, the additively regular seminearrings are precisely the seminearrings of self-maps of additively regular semigroups. Hence there are plenty of natural seminearrings which are not additively...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mukherjee (Pal), Rajlaxmi [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
Distributively generated seminearring Additively commutative near-ring congruence |
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| Anmerkung: |
© Springer Science+Business Media New York 2014 |
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| Übergeordnetes Werk: |
Enthalten in: Semigroup forum - New York, NY : Springer, 1970, 91(2014), 3 vom: 02. Dez., Seite 573-583 |
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| Übergeordnetes Werk: |
volume:91 ; year:2014 ; number:3 ; day:02 ; month:12 ; pages:573-583 |
| Links: |
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| DOI / URN: |
10.1007/s00233-014-9664-2 |
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| Katalog-ID: |
SPR002772701 |
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| 100 | 1 | |a Mukherjee (Pal), Rajlaxmi |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a On additively commutative near-ring congruences on seminearrings |
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| 520 | |a Abstract In the class of natural seminearrings i.e., the seminearrings of all self-maps of additive semigroups, the additively regular seminearrings are precisely the seminearrings of self-maps of additively regular semigroups. Hence there are plenty of natural seminearrings which are not additively regular. In this paper we consider a restricted type of such seminearrings and characterize their additively commutative near-ring congruences in terms of normal subseminearrings. In this class of seminearrings, we also obtain an isomorphism between the lattice of all additively commutative near-ring congruences and the lattice of all normal subseminearrings. This isomorphism is used to show that the set of all additively commutative near-ring congruences of the class of seminearrings under consideration forms a distributive lattice. | ||
| 650 | 4 | |a Distributively generated seminearring |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Normal subseminearring |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Additively commutative near-ring congruence |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Ring congruence |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Multiplicatively regular seminearring |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -Regular seminearring |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Sardar, Sujit Kumar |4 aut | |
| 700 | 1 | |a Pal, Pavel |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Semigroup forum |d New York, NY : Springer, 1970 |g 91(2014), 3 vom: 02. Dez., Seite 573-583 |w (DE-627)300187009 |w (DE-600)1481770-6 |x 1432-2137 |7 nnns |
| 773 | 1 | 8 | |g volume:91 |g year:2014 |g number:3 |g day:02 |g month:12 |g pages:573-583 |
| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/s00233-014-9664-2 |z lizenzpflichtig |3 Volltext |
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10.1007/s00233-014-9664-2 doi (DE-627)SPR002772701 (SPR)s00233-014-9664-2-e DE-627 ger DE-627 rakwb eng Mukherjee (Pal), Rajlaxmi verfasserin aut On additively commutative near-ring congruences on seminearrings 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media New York 2014 Abstract In the class of natural seminearrings i.e., the seminearrings of all self-maps of additive semigroups, the additively regular seminearrings are precisely the seminearrings of self-maps of additively regular semigroups. Hence there are plenty of natural seminearrings which are not additively regular. In this paper we consider a restricted type of such seminearrings and characterize their additively commutative near-ring congruences in terms of normal subseminearrings. In this class of seminearrings, we also obtain an isomorphism between the lattice of all additively commutative near-ring congruences and the lattice of all normal subseminearrings. This isomorphism is used to show that the set of all additively commutative near-ring congruences of the class of seminearrings under consideration forms a distributive lattice. Distributively generated seminearring (dpeaa)DE-He213 Normal subseminearring (dpeaa)DE-He213 Additively commutative near-ring congruence (dpeaa)DE-He213 Ring congruence (dpeaa)DE-He213 Multiplicatively regular seminearring (dpeaa)DE-He213 -Regular seminearring (dpeaa)DE-He213 Sardar, Sujit Kumar aut Pal, Pavel aut Enthalten in Semigroup forum New York, NY : Springer, 1970 91(2014), 3 vom: 02. Dez., Seite 573-583 (DE-627)300187009 (DE-600)1481770-6 1432-2137 nnns volume:91 year:2014 number:3 day:02 month:12 pages:573-583 https://dx.doi.org/10.1007/s00233-014-9664-2 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_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_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 91 2014 3 02 12 573-583 |
| spelling |
10.1007/s00233-014-9664-2 doi (DE-627)SPR002772701 (SPR)s00233-014-9664-2-e DE-627 ger DE-627 rakwb eng Mukherjee (Pal), Rajlaxmi verfasserin aut On additively commutative near-ring congruences on seminearrings 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media New York 2014 Abstract In the class of natural seminearrings i.e., the seminearrings of all self-maps of additive semigroups, the additively regular seminearrings are precisely the seminearrings of self-maps of additively regular semigroups. Hence there are plenty of natural seminearrings which are not additively regular. In this paper we consider a restricted type of such seminearrings and characterize their additively commutative near-ring congruences in terms of normal subseminearrings. In this class of seminearrings, we also obtain an isomorphism between the lattice of all additively commutative near-ring congruences and the lattice of all normal subseminearrings. This isomorphism is used to show that the set of all additively commutative near-ring congruences of the class of seminearrings under consideration forms a distributive lattice. Distributively generated seminearring (dpeaa)DE-He213 Normal subseminearring (dpeaa)DE-He213 Additively commutative near-ring congruence (dpeaa)DE-He213 Ring congruence (dpeaa)DE-He213 Multiplicatively regular seminearring (dpeaa)DE-He213 -Regular seminearring (dpeaa)DE-He213 Sardar, Sujit Kumar aut Pal, Pavel aut Enthalten in Semigroup forum New York, NY : Springer, 1970 91(2014), 3 vom: 02. Dez., Seite 573-583 (DE-627)300187009 (DE-600)1481770-6 1432-2137 nnns volume:91 year:2014 number:3 day:02 month:12 pages:573-583 https://dx.doi.org/10.1007/s00233-014-9664-2 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_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_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 91 2014 3 02 12 573-583 |
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10.1007/s00233-014-9664-2 doi (DE-627)SPR002772701 (SPR)s00233-014-9664-2-e DE-627 ger DE-627 rakwb eng Mukherjee (Pal), Rajlaxmi verfasserin aut On additively commutative near-ring congruences on seminearrings 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media New York 2014 Abstract In the class of natural seminearrings i.e., the seminearrings of all self-maps of additive semigroups, the additively regular seminearrings are precisely the seminearrings of self-maps of additively regular semigroups. Hence there are plenty of natural seminearrings which are not additively regular. In this paper we consider a restricted type of such seminearrings and characterize their additively commutative near-ring congruences in terms of normal subseminearrings. In this class of seminearrings, we also obtain an isomorphism between the lattice of all additively commutative near-ring congruences and the lattice of all normal subseminearrings. This isomorphism is used to show that the set of all additively commutative near-ring congruences of the class of seminearrings under consideration forms a distributive lattice. Distributively generated seminearring (dpeaa)DE-He213 Normal subseminearring (dpeaa)DE-He213 Additively commutative near-ring congruence (dpeaa)DE-He213 Ring congruence (dpeaa)DE-He213 Multiplicatively regular seminearring (dpeaa)DE-He213 -Regular seminearring (dpeaa)DE-He213 Sardar, Sujit Kumar aut Pal, Pavel aut Enthalten in Semigroup forum New York, NY : Springer, 1970 91(2014), 3 vom: 02. Dez., Seite 573-583 (DE-627)300187009 (DE-600)1481770-6 1432-2137 nnns volume:91 year:2014 number:3 day:02 month:12 pages:573-583 https://dx.doi.org/10.1007/s00233-014-9664-2 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_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_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 91 2014 3 02 12 573-583 |
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10.1007/s00233-014-9664-2 doi (DE-627)SPR002772701 (SPR)s00233-014-9664-2-e DE-627 ger DE-627 rakwb eng Mukherjee (Pal), Rajlaxmi verfasserin aut On additively commutative near-ring congruences on seminearrings 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media New York 2014 Abstract In the class of natural seminearrings i.e., the seminearrings of all self-maps of additive semigroups, the additively regular seminearrings are precisely the seminearrings of self-maps of additively regular semigroups. Hence there are plenty of natural seminearrings which are not additively regular. In this paper we consider a restricted type of such seminearrings and characterize their additively commutative near-ring congruences in terms of normal subseminearrings. In this class of seminearrings, we also obtain an isomorphism between the lattice of all additively commutative near-ring congruences and the lattice of all normal subseminearrings. This isomorphism is used to show that the set of all additively commutative near-ring congruences of the class of seminearrings under consideration forms a distributive lattice. Distributively generated seminearring (dpeaa)DE-He213 Normal subseminearring (dpeaa)DE-He213 Additively commutative near-ring congruence (dpeaa)DE-He213 Ring congruence (dpeaa)DE-He213 Multiplicatively regular seminearring (dpeaa)DE-He213 -Regular seminearring (dpeaa)DE-He213 Sardar, Sujit Kumar aut Pal, Pavel aut Enthalten in Semigroup forum New York, NY : Springer, 1970 91(2014), 3 vom: 02. Dez., Seite 573-583 (DE-627)300187009 (DE-600)1481770-6 1432-2137 nnns volume:91 year:2014 number:3 day:02 month:12 pages:573-583 https://dx.doi.org/10.1007/s00233-014-9664-2 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_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_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 91 2014 3 02 12 573-583 |
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10.1007/s00233-014-9664-2 doi (DE-627)SPR002772701 (SPR)s00233-014-9664-2-e DE-627 ger DE-627 rakwb eng Mukherjee (Pal), Rajlaxmi verfasserin aut On additively commutative near-ring congruences on seminearrings 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media New York 2014 Abstract In the class of natural seminearrings i.e., the seminearrings of all self-maps of additive semigroups, the additively regular seminearrings are precisely the seminearrings of self-maps of additively regular semigroups. Hence there are plenty of natural seminearrings which are not additively regular. In this paper we consider a restricted type of such seminearrings and characterize their additively commutative near-ring congruences in terms of normal subseminearrings. In this class of seminearrings, we also obtain an isomorphism between the lattice of all additively commutative near-ring congruences and the lattice of all normal subseminearrings. This isomorphism is used to show that the set of all additively commutative near-ring congruences of the class of seminearrings under consideration forms a distributive lattice. Distributively generated seminearring (dpeaa)DE-He213 Normal subseminearring (dpeaa)DE-He213 Additively commutative near-ring congruence (dpeaa)DE-He213 Ring congruence (dpeaa)DE-He213 Multiplicatively regular seminearring (dpeaa)DE-He213 -Regular seminearring (dpeaa)DE-He213 Sardar, Sujit Kumar aut Pal, Pavel aut Enthalten in Semigroup forum New York, NY : Springer, 1970 91(2014), 3 vom: 02. Dez., Seite 573-583 (DE-627)300187009 (DE-600)1481770-6 1432-2137 nnns volume:91 year:2014 number:3 day:02 month:12 pages:573-583 https://dx.doi.org/10.1007/s00233-014-9664-2 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_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_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 91 2014 3 02 12 573-583 |
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Mukherjee (Pal), Rajlaxmi |
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Mukherjee (Pal), Rajlaxmi misc Distributively generated seminearring misc Normal subseminearring misc Additively commutative near-ring congruence misc Ring congruence misc Multiplicatively regular seminearring misc -Regular seminearring On additively commutative near-ring congruences on seminearrings |
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On additively commutative near-ring congruences on seminearrings Distributively generated seminearring (dpeaa)DE-He213 Normal subseminearring (dpeaa)DE-He213 Additively commutative near-ring congruence (dpeaa)DE-He213 Ring congruence (dpeaa)DE-He213 Multiplicatively regular seminearring (dpeaa)DE-He213 -Regular seminearring (dpeaa)DE-He213 |
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misc Distributively generated seminearring misc Normal subseminearring misc Additively commutative near-ring congruence misc Ring congruence misc Multiplicatively regular seminearring misc -Regular seminearring |
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On additively commutative near-ring congruences on seminearrings |
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On additively commutative near-ring congruences on seminearrings |
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on additively commutative near-ring congruences on seminearrings |
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On additively commutative near-ring congruences on seminearrings |
| abstract |
Abstract In the class of natural seminearrings i.e., the seminearrings of all self-maps of additive semigroups, the additively regular seminearrings are precisely the seminearrings of self-maps of additively regular semigroups. Hence there are plenty of natural seminearrings which are not additively regular. In this paper we consider a restricted type of such seminearrings and characterize their additively commutative near-ring congruences in terms of normal subseminearrings. In this class of seminearrings, we also obtain an isomorphism between the lattice of all additively commutative near-ring congruences and the lattice of all normal subseminearrings. This isomorphism is used to show that the set of all additively commutative near-ring congruences of the class of seminearrings under consideration forms a distributive lattice. © Springer Science+Business Media New York 2014 |
| abstractGer |
Abstract In the class of natural seminearrings i.e., the seminearrings of all self-maps of additive semigroups, the additively regular seminearrings are precisely the seminearrings of self-maps of additively regular semigroups. Hence there are plenty of natural seminearrings which are not additively regular. In this paper we consider a restricted type of such seminearrings and characterize their additively commutative near-ring congruences in terms of normal subseminearrings. In this class of seminearrings, we also obtain an isomorphism between the lattice of all additively commutative near-ring congruences and the lattice of all normal subseminearrings. This isomorphism is used to show that the set of all additively commutative near-ring congruences of the class of seminearrings under consideration forms a distributive lattice. © Springer Science+Business Media New York 2014 |
| abstract_unstemmed |
Abstract In the class of natural seminearrings i.e., the seminearrings of all self-maps of additive semigroups, the additively regular seminearrings are precisely the seminearrings of self-maps of additively regular semigroups. Hence there are plenty of natural seminearrings which are not additively regular. In this paper we consider a restricted type of such seminearrings and characterize their additively commutative near-ring congruences in terms of normal subseminearrings. In this class of seminearrings, we also obtain an isomorphism between the lattice of all additively commutative near-ring congruences and the lattice of all normal subseminearrings. This isomorphism is used to show that the set of all additively commutative near-ring congruences of the class of seminearrings under consideration forms a distributive lattice. © Springer Science+Business Media New York 2014 |
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On additively commutative near-ring congruences on seminearrings |
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Sardar, Sujit Kumar Pal, Pavel |
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10.1007/s00233-014-9664-2 |
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2024-07-03T15:06:04.663Z |
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