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Communicated by L. Spada.
Support of the research of both authors by ÖAD, Cooperation between Austria and Czech Republic in Science and Technology, Grant No. CZ 03/2013, is gratefully acknowledged.
The relationship between MV-algebras and semirings was described by Di Nola and Gerla (Contemp Math 377:131–144, 2005). Since commutative basic algebras are similar to MV-algebras up to associativity of the binary operation we try to get a similar relationship between commutative basic algebras and so-called near semirings and we show that this is possible. This means that associativity does not play an important role in establishing a connection between an algebra of many-valued logic and a structure similar to a semiring.
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Krishna KV (2005) Near-semirings: theory and application. Ph.D. Thesis, IIT Delhi, New Delhi
- Commutative basic algebras and coupled near semirings
- Publication date
- Springer Berlin Heidelberg
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