On Isomorphism Theorems and Chinese Remainder Theorem in Hypernear Rings

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2023, v.30 no.4, pp.377-395

https://doi.org/10.7468/jksmeb.2023.30.4.377

M. Al Tahan (Abu Dhabi University)
B. Davvaz (Yazd University, Iran)

M., A. T. , & B., D. (2023). . 한국수학교육학회지시리즈B:순수및응용수학, 30(4), 377-395, https://doi.org/10.7468/jksmeb.2023.30.4.377

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Abstract

The purpose of this paper is to consider the abstract theory of hypernear rings. In this regard, we derive the isomorphism theorems for hypernear rings as well as Chinese Remainder theorem. Our results can be considered as a generalization for the cases of Krasner hyperrings, near rings, and rings.

keywords: near ring, quasi-canonical hypergroup, hypernear ring, hyperideal, factor hypernear ring

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Vol.30 No.4

On Isomorphism Theorems and Chinese Remainder Theorem in Hypernear Rings

Abstract

한국수학교육학회지시리즈B:순수및응용수학