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) identifier identifier

  • 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.