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-se...

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Main Author:	Warud Nakkhasen
Format:	Article
Language:	English
Published:	AIMS Press 2021-09-01
Series:	AIMS Mathematics
Subjects:	la-semihypergroup la-semihyperring regular la-semihyperring weakly regular la-semihyperring
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2021764?viewType=HTML

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spelling	doaj-c13797b153b54154a3621a1170d72b5b2021-09-27T01:55:44ZengAIMS PressAIMS Mathematics2473-69882021-09-01612132221323410.3934/math.2021764Left almost semihyperrings characterized by their hyperidealsWarud Nakkhasen0Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham 44150, ThailandThe 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.https://www.aimspress.com/article/doi/10.3934/math.2021764?viewType=HTMLla-semihypergroupla-semihyperringregular la-semihyperringweakly regular la-semihyperring
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Warud Nakkhasen
spellingShingle	Warud Nakkhasen Left almost semihyperrings characterized by their hyperideals AIMS Mathematics la-semihypergroup la-semihyperring regular la-semihyperring weakly regular la-semihyperring
author_facet	Warud Nakkhasen
author_sort	Warud Nakkhasen
title	Left almost semihyperrings characterized by their hyperideals
title_short	Left almost semihyperrings characterized by their hyperideals
title_full	Left almost semihyperrings characterized by their hyperideals
title_fullStr	Left almost semihyperrings characterized by their hyperideals
title_full_unstemmed	Left almost semihyperrings characterized by their hyperideals
title_sort	left almost semihyperrings characterized by their hyperideals
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2021-09-01
description	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.
topic	la-semihypergroup la-semihyperring regular la-semihyperring weakly regular la-semihyperring
url	https://www.aimspress.com/article/doi/10.3934/math.2021764?viewType=HTML
work_keys_str_mv	AT warudnakkhasen leftalmostsemihyperringscharacterizedbytheirhyperideals
_version_	1716867347575209984

Left almost semihyperrings characterized by their hyperideals

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