A generalization of reversible rings

Kose, HANDAN; ÜNGÖR, BURCU; HALICIOĞLU, SAİT; Harmanci, A.

A generalization of reversible rings

Kose H., ÜNGÖR B., HALICIOĞLU S., Harmanci A.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.38, sa.A1, ss.43-48, 2014 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 38 Sayı: A1
Basım Tarihi: 2014
Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.43-48
Anahtar Kelimeler: Reversible rings, central reversible rings, weakly reversible rings, QUASI-BAER RINGS, EXTENSIONS
Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a class of rings which is a generalization of reversible rings. Let R be a ring with identity. A ring R is called central reversible if for any a,b is an element of R, ab=0 implies ba belongs to the center of R. Since every reversible ring is central reversible, we study sufficient conditions for central reversible rings to be reversible. We prove that some results of reversible rings can be extended to central reversible rings for these general settings.