Cofinitely semiperfect modules

Çalışıcı H., Pancar A.

SIBERIAN MATHEMATICAL JOURNAL, cilt.46, sa.2, ss.359-363, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/s11202-005-0037-7
  • Dergi Adı: SIBERIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.359-363
  • Ondokuz Mayıs Üniversitesi Adresli: Hayır

Özet

It is well known that a projective module M is G-supplemented if and only if M is semiperfect. We show that a projective module M is circle plus-cofinitely supplemented if and only if M is cofinitely semiperfect or briefly cof-semiperfect (i.e., each finitely generated factor module of M has a projective cover). In this paper we give various properties of the cof-semiperfect modules. If a projective module M is semiperfect then every M-generated module is cof-semiperfect. A ring R is semiperfect if and only if every free R-module is cof-semiperfect.