ON LEFT PRIMARY AND WEAKLY LEFT PRIMARY IDEALS IN $\GAMMA$-LA- RINGS

Authors : Pairote Yiarayong

Pages : 143-148

View : 17 | Download : 5

Publication Date : 2016-03-21

Article Type : Other Papers

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.
Keywords : Gamma LA ring, left primary ideal, weakly left primary ideal, left ideal