Generalized symmetric rings

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2011
• Hauptverfasser: Kafkas, G., Ungor, B., Halicioglu, S., Harmanci, A.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2011
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/154759
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Generalized symmetric rings / G. Kafkas, B. Ungor, S. Halicioglu, A. Harmanci // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 72–84. — Бібліогр.: 21 назв. — англ.

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∈R, abc=0 implies bac belongs to the center of R. Since every symmetric ring is central symmetric, we study sufficient c...