Derivations of MV-Algebras-Reference-Cited by-同舟云学术

Derivations of MV-Algebras

Published:2010 Issue: Volume:2010 Page:1-7
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Alshehri N. O.¹^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science (Girl's), King Abdulaziz University, P.O. Box 126238, Jeddah 21352, Saudi Arabia

Abstract

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.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2010/312027.pdf

Reference19 articles.

1. Algebraic analysis of many valued logics

2. BZMVdM algebras and stonian MV-algebras (applications to fuzzy sets and rough approximations)

3. Roughness in MV-algebras

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