Characterizations of gamma-AG^{**}-groupoids by the properties their gamma-ideals
Group Theory
2010-12-10 v1
Abstract
In this paper we have discusses {\Gamma}-left, {\Gamma}-right, {\Gamma}-bi-, {\Gamma}-quasi-, {\Gamma}-interior and {\Gamma}-ideals in {\Gamma}-AG^{**}-groupoids and regular {\Gamma}-AG^{**}-groupoids. Moreover we have proved that the set of {\Gamma}-ideals in a regular {\Gamma}-AG^{**}-groupoid form a semilattice structure. Also we have characterized a regular {\Gamma}-AG^{**}-groupoid in terms of left ideals.
Keywords
Cite
@article{arxiv.1012.1923,
title = {Characterizations of gamma-AG^{**}-groupoids by the properties their gamma-ideals},
author = {Madad Khan and Naveed Ahmad and Inayatur Rehman},
journal= {arXiv preprint arXiv:1012.1923},
year = {2010}
}