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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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2010/312027 |
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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 |
_version_ |
1716789684395311104 |