ON GENERALIZATION OF circle plus-COFINITELY SUPPLEMENTED MODULES

Creative Commons License

Nisanci B., Pancar A.

UKRAINIAN MATHEMATICAL JOURNAL, vol.62, no.2, pp.203-209, 2010 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 62 Issue: 2
  • Publication Date: 2010
  • Doi Number: 10.1007/s11253-010-0344-4
  • Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.203-209
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

We study the properties of circle plus-cofinitely radical supplemented modules, or, briefly, cgs(circle plus)-modules. It is shown that a module with summand sum property (SSP) is cgs(circle plus) if and only if M/w Loc(circle plus) M (w Loc(circle plus) M is the sum of all w-local direct summands of a module M) does not contain any maximal submodule, that every cofinite direct summand of a UC-extending cgs(circle plus)-module is cgs(circle plus), and that, for any ring R, every free R-module is cgs(circle plus) if and only if R is semiperfect.