Some results on the finite rings with maximal size of pairwise non-commuting elements is 5

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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Date:2024
Main Authors: Chan, Tai Chong, Qua, Kiat Tat, Wong, Denis Chee Keong
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2024
Subjects:
finite ring
pairwise non-commuting element
centralizer
16U70
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2004
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-2004
record_format ojs
spelling 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
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2024-04-21T17:47:57Z
collection 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
work_keys_str_mv AT chantaichong someresultsonthefiniteringswithmaximalsizeofpairwisenoncommutingelementsis5
AT quakiattat someresultsonthefiniteringswithmaximalsizeofpairwisenoncommutingelementsis5
AT wongdenischeekeong someresultsonthefiniteringswithmaximalsizeofpairwisenoncommutingelementsis5
first_indexed 2025-07-17T10:36:18Z
last_indexed 2025-07-17T10:36:18Z
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