GENERALIZED COFINITELY delta-SEMIPERFECT MODULES

Yuzbasi F., Eren Ş.

ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, vol.59, no.2, pp.269-280, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 59 Issue: 2
  • Publication Date: 2013
  • Doi Number: 10.2478/v10157-012-0049-0
  • Journal Name: ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.269-280
  • Keywords: cofinitely generalized delta-supplemented module, cofinitely generalized weak delta-supplemented module, generalized cofinitely delta-semiperfect module, generalized projective delta-cover, SUPPLEMENTED MODULES, RINGS
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

Let R be a ring and M be a left R-module. M is called a cofinitely generalized (weak) delta-supplemented module or briefly a delta-CGS-module (delta-CGWS-module) if every cofinite submodule of M has a generalized (weak) delta-supplement in M. In this paper, we give various properties of these modules. It is shown that (1) The class of cofinitely generalized (weak) delta-supplemented modules are closed under taking homomorphic images, arbitrary sums, generalized delta-covers and closed under extensions. (2) M is a generalized cofinitely delta-semiperfect module if and only if M is a cofinitely generalized delta-supplemented by generalized delta-supplements which have generalized projective delta-covers.