Generalized circle plus-supplemented modules

Calisici H., Turkmen E.

ALGEBRA & DISCRETE MATHEMATICS, vol.10, no.2, pp.10-18, 2010 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 2
  • Publication Date: 2010
  • Journal Name: ALGEBRA & DISCRETE MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.10-18
  • Keywords: generalized cover, generalized supplemented module, circle plus-supplemcntcd module, genclalized circle plus-supplemented module
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

Let R be a ring and. M be a left R-module. M is called generalized circle plus- supplemented if every submodule of M has a generalized supplement that is a direct summandof M. In this paper we give various properties of such modules. We show that any finite direct sum of generalizedu circle plus-supplemented modules is generalized circle plus-supplemented. If M is a generalized circle plus-supplemented module with (D3), then every direct summand of M is generalized circle plus-supplemented. We also give some properties of generalized cover.