A representation of basic algebras by coupled right near semirings
The relationship between MV-algebras and semirings was described by A. Di Nola and B. Gerla in [9] and [10]. An analogous result was proved by the authors for commutative basic algebras and so-called near semirings in [8]. In order to generalize this approach to non-commutative basic algebras, we in...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2015
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| Sorozat: | Acta scientiarum mathematicarum
81 No. 3-4 |
| Kulcsszavak: | Algebra, Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-014-307-z |
| Online Access: | http://acta.bibl.u-szeged.hu/36384 |
| Tartalmi kivonat: | The relationship between MV-algebras and semirings was described by A. Di Nola and B. Gerla in [9] and [10]. An analogous result was proved by the authors for commutative basic algebras and so-called near semirings in [8]. In order to generalize this approach to non-commutative basic algebras, we introduce the concept of right near semirings and point out some of their basic properties. We obtain a representation of basic algebras by so-called coupled right near semirings in a way similar to that obtained in. |
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| Terjedelem/Fizikai jellemzők: | 361-374 |
| ISSN: | 0001-6969 |