Generalized symmetric rings

• Date: 2018
• Main Authors: Kafkas, G., Ungor, B., Halicioglu, S., Harmanci, A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: symmetric rings; central reduced rings; central symmetric rings; central reversible rings; central semicommutative rings; central Armendariz rings; 2-primal rings; 13C99; 16D80; 16U80
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/683
• Journal Title: 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...