Almost-perfect modules

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AYDOĞDU P., ÖZCAN A. Ç.

Glasgow Mathematical Journal, cilt.52, sa.A, ss.33-40, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: A
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1017/s0017089510000297
  • Dergi Adı: Glasgow Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.33-40
  • Anahtar Kelimeler: 16D40, Primary 16A51, secondary 16A50
  • Hacettepe Üniversitesi Adresli: Evet

Özet

We call a module M almost perfect if every M-generated flat module is M-projective. Any perfect module is almost perfect. We characterize almost-perfect modules and investigate some of their properties. It is proved that a ring R is a left almost-perfect ring if and only if every finitely generated left R-module is almost perfect. R is left perfect if and only if every (projective) left R-module is almost perfect. © 2010, Glasgow Mathematical Journal Trust. All rights reserved.