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Licensed Unlicensed Requires Authentication Published by De Gruyter February 28, 2017

Interior and closure operators on commutative basic algebras

  • Jiří Rachůnek and Zdeněk Svoboda
From the journal Mathematica Slovaca


Commutative basic algebras are non-associative generalizations of MV-algebras and form an algebraic semantics of a non-associative generalization of the propositional infinite-valued Łukasiewicz logic. In the paper we investigate additive closure and multiplicative interior operators on commutative basic algebras as a generalization of topological operators.

MSC 2010: 03G05; 03G10; 06D35; 06A15

This work was supported by Palacký University IGA PrF 2014016 and IGA PrF 2015010 and by ESF Project CZ.1.07/2.3.00/20.0051.

(Communicated by Anatolij Dvurečenskij)


The authors are very indebted to the anonymous referee for his/her interesting remarks and suggestions.


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Received: 2014-07-02
Accepted: 2015-04-17
Published Online: 2017-02-28
Published in Print: 2017-03-01

© 2017 Mathematical Institute Slovak Academy of Sciences

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