A relative extending module and torsion precovers

Kemal Berktaş M., Doğruöz S.

Bulletin of the Iranian Mathematical Society, vol.41, no.5, pp.1249-1257, 2015 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 5
  • Publication Date: 2015
  • Journal Name: Bulletin of the Iranian Mathematical Society
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1249-1257
  • Keywords: (pre)covers, Extending module, T-cocompact module, T-pure submodule, Torsion theory
  • Uşak University Affiliated: Yes

Abstract

We first characterize τ-complemented modules with relative (pre)covers. We also introduce an extending module relative to τ-pure submodules on a hereditary torsion theory τ and give its relationship with τ-complemented modules.