FUZZY PRIME AND SEMIPRIME S-SUBACTS OVER MONOIDS-Reference-Cited by-同舟云学术

FUZZY PRIME AND SEMIPRIME S-SUBACTS OVER MONOIDS

Published:2007-03 Issue:01 Volume:03 Page:41-55
ISSN:1793-0057
Container-title:New Mathematics and Natural Computation
language:en
Short-container-title:New Math. and Nat. Computation

Author:

AHSAN J.¹,SAIFULLAH K.²,SHABIR M.³

Affiliation:

1. Department of Mathematics, Faculty of Applied Sciences, International Islamic University, Islamabad, Pakistan

2. Department of Mathematical Sciences, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia

3. Department of Mathematics, Quid-i-Azam University, Islamabad, Pakistan

Abstract

In this paper, we introduce the notions of fuzzy prime and fuzzy semiprime S-subacts, where S is a monoid with a zero and S-acts are representations of S. We establish their basic properties and prove some fundamental results in a fuzzy context, analogous to the results in ordinary semigroups and S-acts. It is shown, among other results, that if a fuzzy right S-subact is fuzzy irreducible, then the difference between fuzzy prime and fuzzy semiprime disappears.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Computer Science Applications,Human-Computer Interaction

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793005707000616

Reference18 articles.

1. Prime and semiprime acts over monoids with zero

2. Characterizations of monoids by the properties of their fuzzy subsystems

3. Fuzzy semirings

4. Rings characterized by their fuzzy submodules

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