On Cyclic LA-Hypergroups-Reference-Cited by-同舟云学术

On Cyclic LA-Hypergroups

Published:2023-08-30 Issue:9 Volume:15 Page:1668
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Kanwal Shehzadi Salma¹^ORCID,Yaqoob Naveed¹^ORCID,Abughazalah Nabilah²^ORCID,Gulistan Muhammad³^ORCID

Affiliation:

1. Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad 44000, Pakistan

2. Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

3. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB T6G 2R3, Canada

Abstract

Symmetries in the context of hypergroups and their generalizations are closely related to the algebraic structures and transformations that preserve certain properties of hypergroup operations. Symmetric LA-hypergroups are indeed commutative hypergroups. This paper considers a category of cyclic hyperstructures called the cyclic LA-semihypergroup that is a conception of LA-semihypergroups and cyclic hypergroups. We inaugurate the idea of cyclic LA-hypergroups. The interconnected notions of single-power cyclic LA-hypergroups, non-single power cyclic LA-hypergroups and some of their properties are explored.

Funder

Princess Nourah bint Abdulrahman University Researchers

Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2073-8994/15/9/1668/pdf

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