On fuzzy-{\Gamma}-ideals of {\Gamma}-Abel-Grassmann's groupoids
Group Theory
2010-11-08 v1
Abstract
In this paper, we have introduced the notion of {\Gamma}-fuzzification in {\Gamma}-AG-groupoids which is in fact the generalization of fuzzy AG-groupoids. We have studied several properties of an intra-regular {\Gamma}-AG^{**}-groupoids in terms of fuzzy {\Gamma}-left (right, two-sided, quasi, interior, generalized bi-, bi-) ideals. We have proved that all fuzzy {\Gamma}-ideals coincide in intra-regular {\Gamma}-AG^{**}-groupoids. We have also shown that the set of fuzzy {\Gamma}-two-sided ideals of an intra-regular {\Gamma}-AG^{**}-groupoid forms a semilattice structure.
Keywords
Cite
@article{arxiv.1011.1367,
title = {On fuzzy-{\Gamma}-ideals of {\Gamma}-Abel-Grassmann's groupoids},
author = {Madad Khan and Faisal},
journal= {arXiv preprint arXiv:1011.1367},
year = {2010}
}