A FAMILY OF EXAMPLES OF GENERALIZED PERFECT RINGS

AYDOĞDU P., HERBERA D.

COMMUNICATIONS IN ALGEBRA, cilt.44, sa.3, ss.1171-1180, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1080/00927872.2014.999933
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1171-1180
  • Hacettepe Üniversitesi Adresli: Evet

Özet

We construct a family of semiprimitive and non von Neumann regular rings satisfying that any right or left module is isomorphic to a quotient of its flat cover (in the sense of Enochs) by a small submodule. This answers in the negative a question posed by A. Amini, B. Amini, M. Ershad, and H. Sharif in 2007.