On Groupoids of Relations with One Conjunctive Operation of Rank 2
Abstract In this paper, we obtain axiom systems, bases of identities and quasi-identities for classes of algebras of binary relations with a conjunctive operation, i.e., an operation that can be defined by a logical formula containing only conjunctions. The result of applying such an operation to tw...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bredikhin, Dmitry [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Nature B.V. 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Studia logica - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1953, 110(2022), 5 vom: 28. Apr., Seite 1137-1153 |
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| Übergeordnetes Werk: |
volume:110 ; year:2022 ; number:5 ; day:28 ; month:04 ; pages:1137-1153 |
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| DOI / URN: |
10.1007/s11225-022-09993-2 |
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| Katalog-ID: |
SPR048235504 |
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| 245 | 1 | 0 | |a On Groupoids of Relations with One Conjunctive Operation of Rank 2 |
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| 520 | |a Abstract In this paper, we obtain axiom systems, bases of identities and quasi-identities for classes of algebras of binary relations with a conjunctive operation, i.e., an operation that can be defined by a logical formula containing only conjunctions. The result of applying such an operation to two binary relations is the Cartesian product of their reflexive projections. Our consideration of these classes leads to the concept of quasi-semilattices as a natural generalization of the notion of semilattices. | ||
| 650 | 4 | |a Algebra of relations |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Logical operations |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Identities |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Varieties |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Quasi-identities |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Quasi-varieties |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Groupoids |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Partially ordered groupoids |7 (dpeaa)DE-He213 | |
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10.1007/s11225-022-09993-2 doi (DE-627)SPR048235504 (SPR)s11225-022-09993-2-e DE-627 ger DE-627 rakwb eng Bredikhin, Dmitry verfasserin (orcid)0000-0003-3600-1294 aut On Groupoids of Relations with One Conjunctive Operation of Rank 2 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature B.V. 2022 Abstract In this paper, we obtain axiom systems, bases of identities and quasi-identities for classes of algebras of binary relations with a conjunctive operation, i.e., an operation that can be defined by a logical formula containing only conjunctions. The result of applying such an operation to two binary relations is the Cartesian product of their reflexive projections. Our consideration of these classes leads to the concept of quasi-semilattices as a natural generalization of the notion of semilattices. Algebra of relations (dpeaa)DE-He213 Logical operations (dpeaa)DE-He213 Identities (dpeaa)DE-He213 Varieties (dpeaa)DE-He213 Quasi-identities (dpeaa)DE-He213 Quasi-varieties (dpeaa)DE-He213 Groupoids (dpeaa)DE-He213 Partially ordered groupoids (dpeaa)DE-He213 Enthalten in Studia logica Dordrecht [u.a.] : Springer Science + Business Media B.V, 1953 110(2022), 5 vom: 28. Apr., Seite 1137-1153 (DE-627)271175788 (DE-600)1478982-6 1572-8730 nnns volume:110 year:2022 number:5 day:28 month:04 pages:1137-1153 https://dx.doi.org/10.1007/s11225-022-09993-2 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 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_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_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_2938 GBV_ILN_2947 GBV_ILN_2949 GBV_ILN_2950 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_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_4392 GBV_ILN_4393 GBV_ILN_4700 AR 110 2022 5 28 04 1137-1153 |
| spelling |
10.1007/s11225-022-09993-2 doi (DE-627)SPR048235504 (SPR)s11225-022-09993-2-e DE-627 ger DE-627 rakwb eng Bredikhin, Dmitry verfasserin (orcid)0000-0003-3600-1294 aut On Groupoids of Relations with One Conjunctive Operation of Rank 2 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature B.V. 2022 Abstract In this paper, we obtain axiom systems, bases of identities and quasi-identities for classes of algebras of binary relations with a conjunctive operation, i.e., an operation that can be defined by a logical formula containing only conjunctions. The result of applying such an operation to two binary relations is the Cartesian product of their reflexive projections. Our consideration of these classes leads to the concept of quasi-semilattices as a natural generalization of the notion of semilattices. Algebra of relations (dpeaa)DE-He213 Logical operations (dpeaa)DE-He213 Identities (dpeaa)DE-He213 Varieties (dpeaa)DE-He213 Quasi-identities (dpeaa)DE-He213 Quasi-varieties (dpeaa)DE-He213 Groupoids (dpeaa)DE-He213 Partially ordered groupoids (dpeaa)DE-He213 Enthalten in Studia logica Dordrecht [u.a.] : Springer Science + Business Media B.V, 1953 110(2022), 5 vom: 28. Apr., Seite 1137-1153 (DE-627)271175788 (DE-600)1478982-6 1572-8730 nnns volume:110 year:2022 number:5 day:28 month:04 pages:1137-1153 https://dx.doi.org/10.1007/s11225-022-09993-2 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 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_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_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_2938 GBV_ILN_2947 GBV_ILN_2949 GBV_ILN_2950 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_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_4392 GBV_ILN_4393 GBV_ILN_4700 AR 110 2022 5 28 04 1137-1153 |
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10.1007/s11225-022-09993-2 doi (DE-627)SPR048235504 (SPR)s11225-022-09993-2-e DE-627 ger DE-627 rakwb eng Bredikhin, Dmitry verfasserin (orcid)0000-0003-3600-1294 aut On Groupoids of Relations with One Conjunctive Operation of Rank 2 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature B.V. 2022 Abstract In this paper, we obtain axiom systems, bases of identities and quasi-identities for classes of algebras of binary relations with a conjunctive operation, i.e., an operation that can be defined by a logical formula containing only conjunctions. The result of applying such an operation to two binary relations is the Cartesian product of their reflexive projections. Our consideration of these classes leads to the concept of quasi-semilattices as a natural generalization of the notion of semilattices. Algebra of relations (dpeaa)DE-He213 Logical operations (dpeaa)DE-He213 Identities (dpeaa)DE-He213 Varieties (dpeaa)DE-He213 Quasi-identities (dpeaa)DE-He213 Quasi-varieties (dpeaa)DE-He213 Groupoids (dpeaa)DE-He213 Partially ordered groupoids (dpeaa)DE-He213 Enthalten in Studia logica Dordrecht [u.a.] : Springer Science + Business Media B.V, 1953 110(2022), 5 vom: 28. Apr., Seite 1137-1153 (DE-627)271175788 (DE-600)1478982-6 1572-8730 nnns volume:110 year:2022 number:5 day:28 month:04 pages:1137-1153 https://dx.doi.org/10.1007/s11225-022-09993-2 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 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_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_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_2938 GBV_ILN_2947 GBV_ILN_2949 GBV_ILN_2950 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_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_4392 GBV_ILN_4393 GBV_ILN_4700 AR 110 2022 5 28 04 1137-1153 |
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10.1007/s11225-022-09993-2 doi (DE-627)SPR048235504 (SPR)s11225-022-09993-2-e DE-627 ger DE-627 rakwb eng Bredikhin, Dmitry verfasserin (orcid)0000-0003-3600-1294 aut On Groupoids of Relations with One Conjunctive Operation of Rank 2 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature B.V. 2022 Abstract In this paper, we obtain axiom systems, bases of identities and quasi-identities for classes of algebras of binary relations with a conjunctive operation, i.e., an operation that can be defined by a logical formula containing only conjunctions. The result of applying such an operation to two binary relations is the Cartesian product of their reflexive projections. Our consideration of these classes leads to the concept of quasi-semilattices as a natural generalization of the notion of semilattices. Algebra of relations (dpeaa)DE-He213 Logical operations (dpeaa)DE-He213 Identities (dpeaa)DE-He213 Varieties (dpeaa)DE-He213 Quasi-identities (dpeaa)DE-He213 Quasi-varieties (dpeaa)DE-He213 Groupoids (dpeaa)DE-He213 Partially ordered groupoids (dpeaa)DE-He213 Enthalten in Studia logica Dordrecht [u.a.] : Springer Science + Business Media B.V, 1953 110(2022), 5 vom: 28. Apr., Seite 1137-1153 (DE-627)271175788 (DE-600)1478982-6 1572-8730 nnns volume:110 year:2022 number:5 day:28 month:04 pages:1137-1153 https://dx.doi.org/10.1007/s11225-022-09993-2 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 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_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_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_2938 GBV_ILN_2947 GBV_ILN_2949 GBV_ILN_2950 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_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_4392 GBV_ILN_4393 GBV_ILN_4700 AR 110 2022 5 28 04 1137-1153 |
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10.1007/s11225-022-09993-2 doi (DE-627)SPR048235504 (SPR)s11225-022-09993-2-e DE-627 ger DE-627 rakwb eng Bredikhin, Dmitry verfasserin (orcid)0000-0003-3600-1294 aut On Groupoids of Relations with One Conjunctive Operation of Rank 2 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature B.V. 2022 Abstract In this paper, we obtain axiom systems, bases of identities and quasi-identities for classes of algebras of binary relations with a conjunctive operation, i.e., an operation that can be defined by a logical formula containing only conjunctions. The result of applying such an operation to two binary relations is the Cartesian product of their reflexive projections. Our consideration of these classes leads to the concept of quasi-semilattices as a natural generalization of the notion of semilattices. Algebra of relations (dpeaa)DE-He213 Logical operations (dpeaa)DE-He213 Identities (dpeaa)DE-He213 Varieties (dpeaa)DE-He213 Quasi-identities (dpeaa)DE-He213 Quasi-varieties (dpeaa)DE-He213 Groupoids (dpeaa)DE-He213 Partially ordered groupoids (dpeaa)DE-He213 Enthalten in Studia logica Dordrecht [u.a.] : Springer Science + Business Media B.V, 1953 110(2022), 5 vom: 28. Apr., Seite 1137-1153 (DE-627)271175788 (DE-600)1478982-6 1572-8730 nnns volume:110 year:2022 number:5 day:28 month:04 pages:1137-1153 https://dx.doi.org/10.1007/s11225-022-09993-2 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 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_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_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_2938 GBV_ILN_2947 GBV_ILN_2949 GBV_ILN_2950 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_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_4392 GBV_ILN_4393 GBV_ILN_4700 AR 110 2022 5 28 04 1137-1153 |
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Bredikhin, Dmitry |
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Bredikhin, Dmitry misc Algebra of relations misc Logical operations misc Identities misc Varieties misc Quasi-identities misc Quasi-varieties misc Groupoids misc Partially ordered groupoids On Groupoids of Relations with One Conjunctive Operation of Rank 2 |
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On Groupoids of Relations with One Conjunctive Operation of Rank 2 Algebra of relations (dpeaa)DE-He213 Logical operations (dpeaa)DE-He213 Identities (dpeaa)DE-He213 Varieties (dpeaa)DE-He213 Quasi-identities (dpeaa)DE-He213 Quasi-varieties (dpeaa)DE-He213 Groupoids (dpeaa)DE-He213 Partially ordered groupoids (dpeaa)DE-He213 |
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misc Algebra of relations misc Logical operations misc Identities misc Varieties misc Quasi-identities misc Quasi-varieties misc Groupoids misc Partially ordered groupoids |
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on groupoids of relations with one conjunctive operation of rank 2 |
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On Groupoids of Relations with One Conjunctive Operation of Rank 2 |
| abstract |
Abstract In this paper, we obtain axiom systems, bases of identities and quasi-identities for classes of algebras of binary relations with a conjunctive operation, i.e., an operation that can be defined by a logical formula containing only conjunctions. The result of applying such an operation to two binary relations is the Cartesian product of their reflexive projections. Our consideration of these classes leads to the concept of quasi-semilattices as a natural generalization of the notion of semilattices. © Springer Nature B.V. 2022 |
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Abstract In this paper, we obtain axiom systems, bases of identities and quasi-identities for classes of algebras of binary relations with a conjunctive operation, i.e., an operation that can be defined by a logical formula containing only conjunctions. The result of applying such an operation to two binary relations is the Cartesian product of their reflexive projections. Our consideration of these classes leads to the concept of quasi-semilattices as a natural generalization of the notion of semilattices. © Springer Nature B.V. 2022 |
| abstract_unstemmed |
Abstract In this paper, we obtain axiom systems, bases of identities and quasi-identities for classes of algebras of binary relations with a conjunctive operation, i.e., an operation that can be defined by a logical formula containing only conjunctions. The result of applying such an operation to two binary relations is the Cartesian product of their reflexive projections. Our consideration of these classes leads to the concept of quasi-semilattices as a natural generalization of the notion of semilattices. © Springer Nature B.V. 2022 |
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On Groupoids of Relations with One Conjunctive Operation of Rank 2 |
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https://dx.doi.org/10.1007/s11225-022-09993-2 |
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10.1007/s11225-022-09993-2 |
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| score |
7.4017534 |