Generalized symmetric rings

• Дата: 2018
• Автори: Kafkas, G., Ungor, B., Halicioglu, S., Harmanci, A.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: symmetric rings; central reduced rings; central symmetric rings; central reversible rings; central semicommutative rings; central Armendariz rings; 2-primal rings; 13C99; 16D80; 16U80
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/683
• Назва журналу: Algebra and Discrete Mathematics

In this paper, we introduce a class of rings which is a generalization of symmetric rings. Let \(R\) be a ring with identity.  A ring \(R\) is called  central symmetric if for any \(a\), \(b, c\in R\),  \(abc = 0\) implies bac belongs to the center of \(R\).  Since every symmetric ring is central sy...