Some results on the finite rings with maximal size of pairwise non-commuting elements is 5
Let \(R\) be a finite ring and let \(X\) be a non-empty subset of \(R\). If \(ab\neq ba\) for any two distinct \(a,b\in X\), then \(X\) is called a set of pairwise non-commuting elements of \(R\). Moreover, \(X\) is said to be a set of pairwise non-commuting elements of \(R\) with maximal size if it...
Saved in:
| Date: | 2024 |
|---|---|
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2024
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2004 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| Summary: | Let \(R\) be a finite ring and let \(X\) be a non-empty subset of \(R\). If \(ab\neq ba\) for any two distinct \(a,b\in X\), then \(X\) is called a set of pairwise non-commuting elements of \(R\). Moreover, \(X\) is said to be a set of pairwise non-commuting elements of \(R\) with maximal size if its cardinality is the largest one among all such sets. In this paper, we study the structures for some finite rings with maximal size of pairwise non-commuting elements is \(5\). |
|---|