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Research Article | Open Access

Characterizations of intra-regular LA-semihyperrings in terms of their hyperideals

Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham 44150, Thailand
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Abstract

The purpose of this article is to investigate the class of intra-regular L A-semihyperrings. Then, characterizations of intra-regular L A-semihyperrings by the properties of many types of their hyperideals are obtained. Moreover, we present a construction of L A-semihyperrings from ordered L A-semirings.

Keywords

LA-semihypergroupLA-semihyperringintra-regular LA-semihyperring
CLC number: 16Y60, 20M17, 20N20

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 5844-5859
DOI: 10.3934/math.2022324

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Cite this article:
Nakkhasen W. Characterizations of intra-regular LA-semihyperrings in terms of their hyperideals. AIMS Mathematics, 2022, 7(4): 5844-5859. https://doi.org/10.3934/math.2022324

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Received: 01 October 2021
Revised: 05 December 2021
Accepted: 04 January 2022
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)