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December 2021 An investigation on S-hypersystems over semihypergroups
Husheng Qiao, Tingting Zhao, Bijan Davvaz
Rocky Mountain J. Math. 51(6): 2195-2207 (December 2021). DOI: 10.1216/rmj.2021.51.2195

Abstract

We recall the definition of an S-hypersystem and the fundamental normal homomorphism theorems on S-hypersystems. We introduce the concept of the category of S-hypersystems and study the product and coproduct of S-hypersystems. We prove that every S-pohypersystem is a subdirect product of subdirectly irreducible S-pohypersystems.

Citation

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Husheng Qiao. Tingting Zhao. Bijan Davvaz. "An investigation on S-hypersystems over semihypergroups." Rocky Mountain J. Math. 51 (6) 2195 - 2207, December 2021. https://doi.org/10.1216/rmj.2021.51.2195

Information

Received: 31 July 2020; Revised: 24 December 2020; Accepted: 8 May 2021; Published: December 2021
First available in Project Euclid: 22 March 2022

Digital Object Identifier: 10.1216/rmj.2021.51.2195

Subjects:
Primary: 06-XX
Secondary: 06Fxx

Keywords: congruence , semihypergroup , S-hypersystems

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

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Vol.51 • No. 6 • December 2021
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