IJPAM: Volume 86, No. 6 (2013)

HOMOMORPHISM OF ANTI FUZZY $M$-SEMIGROUP

S. Vijayabalaji$^1$, S. Sivaramakrishnan$^2$
$^1$Department of Mathematics
University College of Engineering Panruti
(A Constituent College of Anna University Chennai)
Panruti, 607 106, Tamilnadu, INDIA
$^2$Department of Mathematics
Krishnasamy College of Engineering and Technology
Cuddalore, 607 109, Tamilnadu, INDIA


Abstract. The theory of semigroups motivated many researchers to engage themselves to work in that field. $M$-semigroup theory is another remarkable concept in the theory of semigroup. Inspired by the theory of anti fuzzy $M$-semigroup in this paper we introduce the notion of homomorphism between two anti fuzzy M-semigroups. Anti cartesian product of anti fuzzy $M$-semigroups also introduced and we provide some results on it.

Received: May 9, 2013

AMS Subject Classification: 03E72, 08A72

Key Words and Phrases: $M$-semigroup, fuzzy $M$-semigroup, anti fuzzy $M$-semigroup, anti cartesian product

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DOI: 10.12732/ijpam.v86i6.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 86
Issue: 6