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...
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| Дата: | 2024 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2024
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2004 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-20042024-04-21T17:47:57Z Some results on the finite rings with maximal size of pairwise non-commuting elements is 5 Chan, Tai Chong Qua, Kiat Tat Wong, Denis Chee Keong finite ring, pairwise non-commuting element, centralizer 16U70 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 \(5\). Lugansk National Taras Shevchenko University 2024-04-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2004 10.12958/adm2004 Algebra and Discrete Mathematics; Vol 37, No 1 (2024) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2004/pdf Copyright (c) 2024 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2024-04-21T17:47:57Z |
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OJS |
| language |
English |
| topic |
finite ring pairwise non-commuting element centralizer 16U70 |
| spellingShingle |
finite ring pairwise non-commuting element centralizer 16U70 Chan, Tai Chong Qua, Kiat Tat Wong, Denis Chee Keong Some results on the finite rings with maximal size of pairwise non-commuting elements is 5 |
| topic_facet |
finite ring pairwise non-commuting element centralizer 16U70 |
| format |
Article |
| author |
Chan, Tai Chong Qua, Kiat Tat Wong, Denis Chee Keong |
| author_facet |
Chan, Tai Chong Qua, Kiat Tat Wong, Denis Chee Keong |
| author_sort |
Chan, Tai Chong |
| title |
Some results on the finite rings with maximal size of pairwise non-commuting elements is 5 |
| title_short |
Some results on the finite rings with maximal size of pairwise non-commuting elements is 5 |
| title_full |
Some results on the finite rings with maximal size of pairwise non-commuting elements is 5 |
| title_fullStr |
Some results on the finite rings with maximal size of pairwise non-commuting elements is 5 |
| title_full_unstemmed |
Some results on the finite rings with maximal size of pairwise non-commuting elements is 5 |
| title_sort |
some results on the finite rings with maximal size of pairwise non-commuting elements is 5 |
| description |
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 \(5\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2024 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2004 |
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2025-07-17T10:36:18Z |
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2025-07-17T10:36:18Z |
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