ON GENERALIZATIONS OF SEMIPERFECT AND PERFECT RINGS

DEMİRCİ Y. M.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.42, sa.6, ss.1441-1450, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 6
  • Basım Tarihi: 2016
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1441-1450
  • Anahtar Kelimeler: Flat cover, flat B-cover, flat strong cover, G-semiperfect ring, perfect ring, FLAT COVERS, MODULES
  • Abdullah Gül Üniversitesi Adresli: Hayır

Özet

We call a ring R right generalized semiperfect if every simple right R-module is an epimorphic image of a flat right R-module with small kernel, that is, every simple right R-module has a flat B-cover. We give some properties of such rings along with examples. We introduce flat strong covers as flat covers which are also flat B-covers and give characterizations of A-perfect, B-perfect and perfect rings in terms of flat strong covers.