Cofinitely semiperfect modules

Çalışıcı H., Pancar A.

SIBERIAN MATHEMATICAL JOURNAL, vol.46, no.2, pp.359-363, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 2
  • Publication Date: 2005
  • Doi Number: 10.1007/s11202-005-0037-7
  • Journal Name: SIBERIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.359-363
  • Ondokuz Mayıs University Affiliated: No

Abstract

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.