English

Characterizations of {\Gamma}-AG^{**}-groupoids by their {\Gamma}-ideals

Group Theory 2010-12-10 v2

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.1011.1362,
  title  = {Characterizations of {\Gamma}-AG^{**}-groupoids by their {\Gamma}-ideals},
  author = {Madad Khan and Naveed Ahmad},
  journal= {arXiv preprint arXiv:1011.1362},
  year   = {2010}
}

Comments

This paper has been withdrawn by the author due to some problems