LA- Rings

Abstract

In this paper, we study left ideals, left primary and weakly left primary ideals in $\Gamma$-LA-rings. Some characterizations of left primary and weakly left primary ideals are obtained. Moreover, we investigate relationships left primary and weakly left primary ideals in $\Gamma$-LA-rings. Finally, we obtain necessary and sufficient conditions of a weakly left primary ideal to be a left primary ideals in $\Gamma$-LA- rings.