Independence concepts for groupoids

Akbar Rezaei; Hee Sik Kim; Arsham Borumand Saeid

doi:10.2478/aupcsm-2023-0007

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Independence concepts for groupoids

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 22 (2023): Issue 1 (January 2023)

By: Akbar Rezaei, Hee Sik Kim and Arsham Borumand Saeid

Open Access

|Jul 2023

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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Articles in this issue

DOI: https://doi.org/10.2478/aupcsm-2023-0007 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 87 - 98

Submitted on: Nov 16, 2022

Accepted on: May 31, 2023

Published on: Jul 25, 2023

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

groupoid,

(right, left) independent,

strongly (right, left) independent,

dynamic

Related subjects:

Mathematics,

General mathematics

© 2023 Akbar Rezaei, Hee Sik Kim, Arsham Borumand Saeid, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 22 (2023): Issue 1 (January 2023)