On Convex Ordered Hyperrings

Yongsheng Rao; Mehdi Gheisari; Nategh Abbasizadeh

doi:10.3390/sym15010061

Symmetry (Dec 2022)

On Convex Ordered Hyperrings

Yongsheng Rao,
Mehdi Gheisari,
Nategh Abbasizadeh

Affiliations

Yongsheng Rao: Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China
Mehdi Gheisari: Department of Cognitive Computing, Institute of Computer Science and Engineering, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
Nategh Abbasizadeh: Department of Sciences, Farhangian University, Tehran 19989-63341, Iran

DOI: https://doi.org/10.3390/sym15010061
Journal volume & issue: Vol. 15, no. 1
p. 61

Abstract

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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.

Published in Symmetry

ISSN: 2073-8994 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/symmetry/

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