Left almost semihyperrings characterized by their hyperideals

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.