Open AccessSome Basic Properties of Prime and Left Prime Ideals in Γ-Left Almost Rings
Author(s) -
Pairote Yiarayong
Publication year - 2018
Publication title -
walailak journal of science and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.146
H-Index - 15
eISSN - 2228-835X
pISSN - 1686-3933
DOI - 10.48048/wjst.2018.1932
Subject(s) - prime (order theory) , associated prime , mathematics , semiprime ring , prime ring , pure mathematics , discrete mathematics , combinatorics
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.