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.
Citation: Warud Nakkhasen. Left almost semihyperrings characterized by their hyperideals[J]. AIMS Mathematics, 2021, 6(12): 13222-13234. doi: 10.3934/math.2021764
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.
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Warud Nakkhasen. Left almost semihyperrings characterized by their hyperideals[J]. AIMS Mathematics, 2021, 6(12): 13222-13234. doi: 10.3934/math.2021764
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