Derivations of MV-Algebras

Derivations of MV-Algebras

We introduce the notion of derivation for an MV-algebra and discuss some related properties. Using the notion of an isotone derivation, we give some characterizations of a derivation of an MV-algebra. Moreover, we define an additive derivation of an MV-algebra and investigate some of its properties....

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Main Author: N. O. Alshehri
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2010/312027
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spelling doaj-6d12cc2bfe024ac19de5fc8a1332f1f92020-11-24T20:56:49ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/312027312027Derivations of MV-AlgebrasN. O. Alshehri0Department of Mathematics, Faculty of Science (Girl's), King Abdulaziz University, P.O. Box 126238, Jeddah 21352, Saudi ArabiaWe introduce the notion of derivation for an MV-algebra and discuss some related properties. Using the notion of an isotone derivation, we give some characterizations of a derivation of an MV-algebra. Moreover, we define an additive derivation of an MV-algebra and investigate some of its properties. Also, we prove that an additive derivation of a linearly ordered MV-algebral is an isotone.http://dx.doi.org/10.1155/2010/312027
collection DOAJ
language English
format Article
sources DOAJ
author N. O. Alshehri
spellingShingle N. O. Alshehri
Derivations of MV-Algebras
International Journal of Mathematics and Mathematical Sciences
author_facet N. O. Alshehri
author_sort N. O. Alshehri
title Derivations of MV-Algebras
title_short Derivations of MV-Algebras
title_full Derivations of MV-Algebras
title_fullStr Derivations of MV-Algebras
title_full_unstemmed Derivations of MV-Algebras
title_sort derivations of mv-algebras
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2010-01-01
description We introduce the notion of derivation for an MV-algebra and discuss some related properties. Using the notion of an isotone derivation, we give some characterizations of a derivation of an MV-algebra. Moreover, we define an additive derivation of an MV-algebra and investigate some of its properties. Also, we prove that an additive derivation of a linearly ordered MV-algebral is an isotone.
url http://dx.doi.org/10.1155/2010/312027
work_keys_str_mv AT noalshehri derivationsofmvalgebras
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