Some Basic Properties of Prime and Left Prime Ideals in Γ-Left Almost Rings

Pairote YIARAYONG

doi:10.48048/wjst.2018.1932

Authors

Pairote YIARAYONG Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanuloke 65000

DOI:

https://doi.org/10.48048/wjst.2018.1932

Keywords:

Γ-LA-ring, prime ideal, left prime ideal, weakly left prime, left (right) ideal

Abstract

The purpose of this paper is to introduce the notion of prime and left prime ideals in Γ-LA-rings. Some characterizations of prime, left prime, and weakly left ideals are obtained. Moreover, we investigate relationships between prime and left prime ideals in Γ-LA-rings. Finally, we obtain the necessary and sufficient conditions of a prime to be a left prime in Γ-LA-rings.

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