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On some relative weakly hyperideals and relative prime bi-hyperideals in ordered hypersemigroups and in involution ordered hypersemigroups

Department of Natural and Applied Sciences, Glocal University, Mirzapur, Saharanpur, Uttar Pradesh–247 121, India

* Corresponding Author
Annals of Communications in Mathematics 2020
, 3 (1),
63-79.
https://doi.org/10.62072/acm.2020.030107
Received: 2 March 2019 |
Accepted: 16 April 2020 |
Published: 31 March 2020

Abstract

The aim of the present paper is to define and bring together the fundamental definitions such as relative hyperideals, relative bi-hyperideals, relative quasi-hyperideals, relative prime hyperideals, relative weakly prime hyperideals, relative semiprime hyperideals, relative prime and relative semiprime bi-hyperideals, and hyper relative regularity of dynamic algebraic character to develop the theory of hypersemigroups, and obtain the results relating to and connecting these hyperideal-theoretic definitions of this vast theory to the larger framework of the algebraic area of ordered hypersemigroups as well as of involution ordered hypersemigroups.

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Cite This Article

On some relative weakly hyperideals and relative prime bi-hyperideals in ordered hypersemigroups and in involution ordered hypersemigroups.

Annals of Communications in Mathematics,

2020,
3 (1):
63-79.
https://doi.org/10.62072/acm.2020.030107
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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