AIMS Mathematics (Jan 2022)

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

  • Warud Nakkhasen

DOI
https://doi.org/10.3934/math.2022324
Journal volume & issue
Vol. 7, no. 4
pp. 5844 – 5859

Abstract

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

Keywords