Hv-Field of Fractions and Hv-Quotient Rings

IF 0.3 Q4 MATHEMATICS
M. Ghadiri
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引用次数: 0

Abstract

A larger class of algebraic hyperstructures satisfying the ring (field)-likeaxioms is the class of Hv-rings (Hv-fields). In this paper, we define the Hv-integraldomain and introduce the Hv-field of fractions of an Hv-integral domain. Also, theHv-quotient ring and some relative theorems are presented. Finally, some interestingresults about the Hv-rings of fractions, Hv-quotient rings and the relations betweenthem are proved.
分数的hv域和hv商环
一类更大的满足类环(场)公理的代数超结构是类环(场)。本文定义了hv -积分域,并引入了hv -积分域分数的hv -域。并给出了hv -商环及其相关定理。最后,证明了分数的hv环、hv商环及其关系的一些有趣的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
0.70
自引率
33.30%
发文量
20
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