The direct sum of semigroups is of inner type
Abstract A semigroup S is said to be of left inner type if the monoid of left translations of S is canonically isomorphic with $ S^{1} $. The semigroups of left inner type form a special class of semigroups whose simple characterization is not known. The main purpose of this paper is to show that th...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hora, R. B. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1975 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag New York Inc 1975 |
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| Übergeordnetes Werk: |
Enthalten in: Semigroup forum - New York, NY : Springer, 1970, 11(1975), 1 vom: 01. Dez., Seite 95-101 |
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| Übergeordnetes Werk: |
volume:11 ; year:1975 ; number:1 ; day:01 ; month:12 ; pages:95-101 |
| Links: |
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| DOI / URN: |
10.1007/BF02195258 |
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| Katalog-ID: |
SPR002856328 |
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| 041 | |a eng | ||
| 100 | 1 | |a Hora, R. B. |e verfasserin |4 aut | |
| 245 | 1 | 4 | |a The direct sum of semigroups is of inner type |
| 264 | 1 | |c 1975 | |
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| 500 | |a © Springer-Verlag New York Inc 1975 | ||
| 520 | |a Abstract A semigroup S is said to be of left inner type if the monoid of left translations of S is canonically isomorphic with $ S^{1} $. The semigroups of left inner type form a special class of semigroups whose simple characterization is not known. The main purpose of this paper is to show that the direct sum of at least three semigroups is of left inner type. A brief discussion is given on the exceptional case, when the semigroup is the direct sum of two summands. | ||
| 650 | 4 | |a Direct Product |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Exceptional Case |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Semigroup Forum |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Algebraic Theory |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Commutative Semigroup |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Kimura, Naoki |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Semigroup forum |d New York, NY : Springer, 1970 |g 11(1975), 1 vom: 01. Dez., Seite 95-101 |w (DE-627)300187009 |w (DE-600)1481770-6 |x 1432-2137 |7 nnns |
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| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/BF02195258 |z lizenzpflichtig |3 Volltext |
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| 952 | |d 11 |j 1975 |e 1 |b 01 |c 12 |h 95-101 | ||
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1975 |
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1975 |
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10.1007/BF02195258 doi (DE-627)SPR002856328 (SPR)BF02195258-e DE-627 ger DE-627 rakwb eng Hora, R. B. verfasserin aut The direct sum of semigroups is of inner type 1975 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag New York Inc 1975 Abstract A semigroup S is said to be of left inner type if the monoid of left translations of S is canonically isomorphic with $ S^{1} $. The semigroups of left inner type form a special class of semigroups whose simple characterization is not known. The main purpose of this paper is to show that the direct sum of at least three semigroups is of left inner type. A brief discussion is given on the exceptional case, when the semigroup is the direct sum of two summands. Direct Product (dpeaa)DE-He213 Exceptional Case (dpeaa)DE-He213 Semigroup Forum (dpeaa)DE-He213 Algebraic Theory (dpeaa)DE-He213 Commutative Semigroup (dpeaa)DE-He213 Kimura, Naoki aut Enthalten in Semigroup forum New York, NY : Springer, 1970 11(1975), 1 vom: 01. Dez., Seite 95-101 (DE-627)300187009 (DE-600)1481770-6 1432-2137 nnns volume:11 year:1975 number:1 day:01 month:12 pages:95-101 https://dx.doi.org/10.1007/BF02195258 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_121 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_224 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_647 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_2018 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_2043 GBV_ILN_2044 GBV_ILN_2048 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_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_2158 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2193 GBV_ILN_2232 GBV_ILN_2244 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2808 GBV_ILN_4012 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_4277 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_4346 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 AR 11 1975 1 01 12 95-101 |
| spelling |
10.1007/BF02195258 doi (DE-627)SPR002856328 (SPR)BF02195258-e DE-627 ger DE-627 rakwb eng Hora, R. B. verfasserin aut The direct sum of semigroups is of inner type 1975 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag New York Inc 1975 Abstract A semigroup S is said to be of left inner type if the monoid of left translations of S is canonically isomorphic with $ S^{1} $. The semigroups of left inner type form a special class of semigroups whose simple characterization is not known. The main purpose of this paper is to show that the direct sum of at least three semigroups is of left inner type. A brief discussion is given on the exceptional case, when the semigroup is the direct sum of two summands. Direct Product (dpeaa)DE-He213 Exceptional Case (dpeaa)DE-He213 Semigroup Forum (dpeaa)DE-He213 Algebraic Theory (dpeaa)DE-He213 Commutative Semigroup (dpeaa)DE-He213 Kimura, Naoki aut Enthalten in Semigroup forum New York, NY : Springer, 1970 11(1975), 1 vom: 01. Dez., Seite 95-101 (DE-627)300187009 (DE-600)1481770-6 1432-2137 nnns volume:11 year:1975 number:1 day:01 month:12 pages:95-101 https://dx.doi.org/10.1007/BF02195258 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_121 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_224 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_647 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_2018 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_2043 GBV_ILN_2044 GBV_ILN_2048 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_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_2158 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2193 GBV_ILN_2232 GBV_ILN_2244 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2808 GBV_ILN_4012 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_4277 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_4346 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 AR 11 1975 1 01 12 95-101 |
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10.1007/BF02195258 doi (DE-627)SPR002856328 (SPR)BF02195258-e DE-627 ger DE-627 rakwb eng Hora, R. B. verfasserin aut The direct sum of semigroups is of inner type 1975 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag New York Inc 1975 Abstract A semigroup S is said to be of left inner type if the monoid of left translations of S is canonically isomorphic with $ S^{1} $. The semigroups of left inner type form a special class of semigroups whose simple characterization is not known. The main purpose of this paper is to show that the direct sum of at least three semigroups is of left inner type. A brief discussion is given on the exceptional case, when the semigroup is the direct sum of two summands. Direct Product (dpeaa)DE-He213 Exceptional Case (dpeaa)DE-He213 Semigroup Forum (dpeaa)DE-He213 Algebraic Theory (dpeaa)DE-He213 Commutative Semigroup (dpeaa)DE-He213 Kimura, Naoki aut Enthalten in Semigroup forum New York, NY : Springer, 1970 11(1975), 1 vom: 01. Dez., Seite 95-101 (DE-627)300187009 (DE-600)1481770-6 1432-2137 nnns volume:11 year:1975 number:1 day:01 month:12 pages:95-101 https://dx.doi.org/10.1007/BF02195258 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_121 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_224 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_647 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_2018 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_2043 GBV_ILN_2044 GBV_ILN_2048 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_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_2158 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2193 GBV_ILN_2232 GBV_ILN_2244 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2808 GBV_ILN_4012 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_4277 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_4346 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 AR 11 1975 1 01 12 95-101 |
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10.1007/BF02195258 doi (DE-627)SPR002856328 (SPR)BF02195258-e DE-627 ger DE-627 rakwb eng Hora, R. B. verfasserin aut The direct sum of semigroups is of inner type 1975 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag New York Inc 1975 Abstract A semigroup S is said to be of left inner type if the monoid of left translations of S is canonically isomorphic with $ S^{1} $. The semigroups of left inner type form a special class of semigroups whose simple characterization is not known. The main purpose of this paper is to show that the direct sum of at least three semigroups is of left inner type. A brief discussion is given on the exceptional case, when the semigroup is the direct sum of two summands. Direct Product (dpeaa)DE-He213 Exceptional Case (dpeaa)DE-He213 Semigroup Forum (dpeaa)DE-He213 Algebraic Theory (dpeaa)DE-He213 Commutative Semigroup (dpeaa)DE-He213 Kimura, Naoki aut Enthalten in Semigroup forum New York, NY : Springer, 1970 11(1975), 1 vom: 01. Dez., Seite 95-101 (DE-627)300187009 (DE-600)1481770-6 1432-2137 nnns volume:11 year:1975 number:1 day:01 month:12 pages:95-101 https://dx.doi.org/10.1007/BF02195258 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_121 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_224 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_647 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_2018 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_2043 GBV_ILN_2044 GBV_ILN_2048 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_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_2158 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2193 GBV_ILN_2232 GBV_ILN_2244 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2808 GBV_ILN_4012 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_4277 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_4346 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 AR 11 1975 1 01 12 95-101 |
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Enthalten in Semigroup forum 11(1975), 1 vom: 01. Dez., Seite 95-101 volume:11 year:1975 number:1 day:01 month:12 pages:95-101 |
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Enthalten in Semigroup forum 11(1975), 1 vom: 01. Dez., Seite 95-101 volume:11 year:1975 number:1 day:01 month:12 pages:95-101 |
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Hora, R. B. @@aut@@ Kimura, Naoki @@aut@@ |
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Hora, R. B. |
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Hora, R. B. misc Direct Product misc Exceptional Case misc Semigroup Forum misc Algebraic Theory misc Commutative Semigroup The direct sum of semigroups is of inner type |
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The direct sum of semigroups is of inner type Direct Product (dpeaa)DE-He213 Exceptional Case (dpeaa)DE-He213 Semigroup Forum (dpeaa)DE-He213 Algebraic Theory (dpeaa)DE-He213 Commutative Semigroup (dpeaa)DE-He213 |
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direct sum of semigroups is of inner type |
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The direct sum of semigroups is of inner type |
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Abstract A semigroup S is said to be of left inner type if the monoid of left translations of S is canonically isomorphic with $ S^{1} $. The semigroups of left inner type form a special class of semigroups whose simple characterization is not known. The main purpose of this paper is to show that the direct sum of at least three semigroups is of left inner type. A brief discussion is given on the exceptional case, when the semigroup is the direct sum of two summands. © Springer-Verlag New York Inc 1975 |
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Abstract A semigroup S is said to be of left inner type if the monoid of left translations of S is canonically isomorphic with $ S^{1} $. The semigroups of left inner type form a special class of semigroups whose simple characterization is not known. The main purpose of this paper is to show that the direct sum of at least three semigroups is of left inner type. A brief discussion is given on the exceptional case, when the semigroup is the direct sum of two summands. © Springer-Verlag New York Inc 1975 |
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Abstract A semigroup S is said to be of left inner type if the monoid of left translations of S is canonically isomorphic with $ S^{1} $. The semigroups of left inner type form a special class of semigroups whose simple characterization is not known. The main purpose of this paper is to show that the direct sum of at least three semigroups is of left inner type. A brief discussion is given on the exceptional case, when the semigroup is the direct sum of two summands. © Springer-Verlag New York Inc 1975 |
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B.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="4"><subfield code="a">The direct sum of semigroups is of inner type</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1975</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer-Verlag New York Inc 1975</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract A semigroup S is said to be of left inner type if the monoid of left translations of S is canonically isomorphic with $ S^{1} $. 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