关于准广义交换代数

IF 1 Q1 MATHEMATICS

European Journal of Pure and Applied Mathematics Pub Date : 2024-02-04 DOI:10.29020/nybg.ejpam.v17i1.5048

Young Bae Jun, Ravikumar Bandaru, Rahul Shukla

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引用次数: 0

摘要

本文介绍了一种新的代数结构，称为准广义交换代数（qGE-algebra），并研究了它的性质。引入了准广义交换代数的 qGE 子代数、qGE 过滤、封闭 qGE 过滤和强 qGE 过滤的概念，并讨论了它们之间的关系。给出了准 GE-algebra 的子集成为 qGE-filter 的条件。

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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On Quasi Generalized Exchange Algebras

A new type of algebraic structure, called a quasi generalized exchange algebra(qGE-algebra), with the GE-algebra conditions is introduced and its properties are investigated. The concepts of qGE-subalgebra, qGE-filter, closed qGE-filter and strong qGE-filter of a quasi GE-algebra are introduced and their relationships are discussed. The conditions for a subset of a quasi GE-algebra to be a qGE-filter are given.

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来源期刊

European Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

1.30

自引率

28.60%

发文量

156