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01-05-2015 | Foundations

Commutative basic algebras and coupled near semirings

Authors: Ivan Chajda, Helmut Länger

Published in: Soft Computing | Issue 5/2015

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Abstract

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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Title: Commutative basic algebras and coupled near semirings
Authors: Ivan Chajda
Helmut Länger
Publication date: 01-05-2015
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 5/2015
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-014-1537-9

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