Derivations on algebras of a non-commutative generalization of the Łukasiewicz logic

dc.contributor.author	Rachůnek, Jiří
dc.contributor.author	Šalounová, Dana
dc.date.accessioned	2018-01-08T12:09:02Z
dc.date.available	2018-01-08T12:09:02Z
dc.date.issued	2018
dc.description.abstract	GMV-algebras are a non-commutative generalization of MV-algebras and are an algebraic semantics of the non-commutative Lukasiewicz infinite valued propositional fuzzy logic. In the paper, derivations on GMV-algebras (which are formally introduced in the same manner as derivations on rings) are investigated. A complete description of all derivations on any GMV-algebra is given.	cs
dc.description.firstpage	11	cs
dc.description.lastpage	16	cs
dc.description.source	Web of Science	cs
dc.description.volume	333	cs
dc.identifier.citation	Fuzzy Sets and Systems. 2018, vol. 333, p. 11-16.	cs
dc.identifier.doi	10.1016/j.fss.2017.01.013
dc.identifier.issn	0165-0114
dc.identifier.issn	1872-6801
dc.identifier.uri	http://hdl.handle.net/10084/122733
dc.identifier.wos	000418598800002
dc.language.iso	en	cs
dc.publisher	Elsevier	cs
dc.relation.ispartofseries	Fuzzy Sets and Systems	cs
dc.relation.uri	https://doi.org/10.1016/j.fss.2017.01.013	cs
dc.rights	© 2017 Elsevier B.V. All rights reserved.	cs
dc.subject	MV-algebra	cs
dc.subject	GMV-algebra	cs
dc.subject	derivation on GMV-algebra	cs
dc.subject	additive mapping	cs
dc.subject	Boolean element	cs
dc.title	Derivations on algebras of a non-commutative generalization of the Łukasiewicz logic	cs
dc.type	article	cs
dc.type.status	Peer-reviewed	cs

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