群类群的独立性概念

IF 0.1 Q4 MATHEMATICS

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2023-01-01 DOI:10.2478/aupcsm-2023-0007

A. Rezaei, H. Kim, A. Saeid

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引用次数: 0

摘要

摘要为了在群类群中得到更多的结果，我们考虑了群类群的一个集合，引入了群类群的右(左)独立子集的概念，并对其进行了详细的研究。作为这些性质的推论，证明了以下重要结果:对于任何群类群，存在一个极大的右(左)独立子集。此外，还考虑了强右(左)独立子集的概念。证明了存在一个具有强右独立2集的群拟。最后，讨论了具有独立性的动态元素的概念。

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Independence concepts for groupoids

Abstract In this paper, for getting more results in groupoids, we consider a set and introduce the notion of a right (left) independent subset of a groupoid, and it is studied in detail. As a corollary of these properties, the following important result is proved: for any groupoid, there is a maximal right (left) independent subset. Moreover, the notion of strongly right (left) independent subset is considered. It is proved that there exists a groupoid having a strongly right independent 2-set. Finally, we discuss the notion of dynamic elements with independence.

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来源期刊

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica MATHEMATICS-

自引率

11.10%

发文量

审稿时长

15 weeks