On Convex Ordered Hyperrings-Reference-Cited by-同舟云学术

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On Convex Ordered Hyperrings

Published:2022-12-26 Issue:1 Volume:15 Page:61
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Rao Yongsheng^ORCID,Gheisari Mehdi,Abbasizadeh Nategh

Abstract

The concept of convex ordered hyperrings associated with a strongly regular relation was investigated in this study. In this paper, we first studied hyperatom elements of ordered hyperrings and then investigated characterizations of quotient ordered rings. Is there a strongly regular relation θ on a convex ordered hyperring R for which R/θ is a convex ordered ring? This leads to an ordered ring obtained from an ordered hyperring.

Funder

National Natural Science Foundation of China

Guangzhou Academician and Expert Workstation

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2073-8994/15/1/61/pdf

Reference19 articles.

1. Marty, F. (1934, January 14–18). Sur une generalization de la notion de groupe. Proceedings of the 8th Congress of Scandinavian Mathematicians, Stockholm, Sweden.

2. A class of hyperrings and hyperfields;Krasner;Intern. Math. Math Sci.,1983

3. Relations on Krasner (m,n)-hyperrings;Mirvakili;Eur. J. Combin.,2010

4. On ordered hyperstructures;Heidari;Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys.,2011

5. Relationship between ordered semihypergroups and ordered semigroups by using pseudoorder;Davvaz;Eur. J. Comb.,2015

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