A Study on Hyperatomic Ordered Semihyperrings-Reference-Cited by-同舟云学术

A Study on Hyperatomic Ordered Semihyperrings

Published:2023-04-24 Issue:5 Volume:15 Page:967
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Guan Hao¹²^ORCID,Zahednejad Behnam³,Khan Aysha⁴^ORCID,Akhoundi Maryam⁵^ORCID

Affiliation:

1. Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China

2. School of Computer Science of Information Technology, Qiannan Normal University for Nationalities, Duyun 558000, China

3. Institute of Artificial Intelligence and Blockchain, Guangzhou University, Guangzhou 510006, China

4. Department of Mathematics, Prince Sattam bin Abdulaziz University, Alkharj 11991, Saudi Arabia

5. Clinical Research Development Unit of Rouhani Hospital, Babol University of Medical Sciences, Babol 4717647745, Iran

Abstract

In this study, we analyze an operator RT of an ordered semihyperring T with symmetrical hyperoperation ⊕ and show relations with the LT operator of T. We define the set ERT(K)={RT(K):∅≠K⊆T}. We denote by τRT(T) the topology generated by ERT(K). We prove that if RT(0)=T, then (T,τRT(T)) is connected. Some results relating to the hyperatomic ordered semihyperrings and the topology τRT(T) are discussed.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/5/967/pdf

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