About this article
Published Online: Jul 25, 2023
Page range: 87 - 98
Received: Nov 16, 2022
Accepted: May 31, 2023
DOI: https://doi.org/10.2478/aupcsm-2023-0007
© 2023 Akbar Rezaei et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.
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.