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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.30 No.4

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On Isomorphism Theorems and Chinese Remainder Theorem in Hypernear Rings

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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). On Isomorphism Theorems and Chinese Remainder Theorem in Hypernear Rings. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(4), 377-395, https://doi.org/10.7468/jksmeb.2023.30.4.377

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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