On a common generalization of symmetric rings and quasi duo rings

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Authors: Subedi, T., Roy, D.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188519
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On a common generalization of symmetric rings and quasi duo rings/ T. Subedi, D. Roy // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 249–258. — Бібліогр.: 14 назв. — англ.

Let J(R) denote the Jacobson radical of a ring R. We call a ring R as J-symmetric if for any a, b, c ∈ R, abc = 0 implies bac ∈ J(R). It turns out that J-symmetric rings are a common generalization of left (right) quasi-duo rings and generalized weakly symmetric rings. Various properties of these ri...