Left almost semihyperrings characterized by their hyperideals

Abstract

The notion of left almost semihyperrings (briefly, LA-semihyperrings), as a generalization of left almost semirings (briefly, LA-semirings), was introduced by Nawaz, Rehman and Gulistan in 2018. The purpose of this article is to study the classes of weakly regular LA-semihyperrings and regular LA-semihyperrings. Then, characterizations of weakly regular LA-semihyperrings and regular LA-semihyperrings in terms of their hyperideals have been obtained.

Keywords

• la-semihypergroup
• la-semihyperring
• regular la-semihyperring
• weakly regular la-semihyperring