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

• Дата: 2024
• Автори: Chan, Tai Chong, Qua, Kiat Tat, Wong, Denis Chee Keong
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2024
• Теми: finite ring; pairwise non-commuting element; centralizer; 16U70
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2004
• Назва журналу: Algebra and Discrete Mathematics

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...