On right chain ordered semihypergroups

Volume 24, Issue 1, pp 59--72 http://dx.doi.org/10.22436/jmcs.024.01.06

Publication Date: December 24, 2020 Submission Date: October 29, 2020 Revision Date: November 25, 2020 Accteptance Date: December 02, 2020

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Authors

Pairote Yiarayong - Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok 65000, Thailand. Bijan Davvaz - Department of Mathematics , Yazd University, Yazd, Iran. Ronnason Chinram - Division of Computational Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand.

Abstract

The purposes of this paper are to introduce generalizations of the right chain ordered semigroups to the context of the right chain ordered semihypergroups. Furthermore, we present the concepts of prime, completely prime, semiprime, and completely semiprime right hyperideals of ordered semihypergroups. We also introduce the idea of associated prime right hyperideals. Moreover, we give some characterizations of prime, completely prime, semiprime, and completely semiprime right hyperideals of ordered semihypergroups. Finally, we obtain necessary and sufficient prime right hyperideal conditions to be a semiprime right hyperideal.

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Keywords

• Ordered semihypergroup
• prime right hyperideal
• completely prime right hyperideal
• semiprime right hyperideal
• completely semiprime right hyperideal

MSC

•  20N20
•  06F05

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