A representation of basic algebras by coupled right near semirings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33155647" target="_blank" >RIV/61989592:15310/15:33155647 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.14232/actasm-014-307-z" target="_blank" >http://dx.doi.org/10.14232/actasm-014-307-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14232/actasm-014-307-z" target="_blank" >10.14232/actasm-014-307-z</a>

Result language
angličtina
Original language name
A representation of basic algebras by coupled right near semirings
Original language description
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 [8].
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GF15-34697L" target="_blank" >GF15-34697L: New perspectives on residuated posets</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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