m-幂等超环的交换商结构

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-03-01 DOI:10.2478/auom-2020-0015

A. Zadeh, M. Norouzi, I. Cristea

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引用次数: 4

摘要

α*关系是超环上的一个基本关系，它是超环上使商结构R/α*为交换环的最小的强正则关系。本文在超环上引入了小于α*的关系ζm，并证明了在一类特定的m-幂等超环R上，它是使商环R/ζ*m可交换的最小强正则关系。说明并讨论了这一新关系的一些性质及其与α*关系的区别。最后，我们证明了在这类m-幂等超环上，ζm是α*的一个新的表示。

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The commutative quotient structure of m-idempotent hyperrings

Abstract The α* -relation is a fundamental relation on hyperrings, being the smallest strongly regular relation on hyperrings such that the quotient structure R/α* is a commutative ring. In this paper we introduce on hyperrings the relation ζm, which is smaller than α*, and show that, on a particular class of m-idempotent hyperrings R, it is the smallest strongly regular relation such that the quotient ring R/ζ*m is commutative. Some properties of this new relation and its differences from the α* -relation are illustrated and discussed. Finally, we show that ζm is a new representation for α* on this particular class of m-idempotent hyperrings.

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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.