Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

A relative extending module and torsion precovers

Document Type : Research Paper

Authors
1 Department of‎ ‎Mathematics‎, ‎Usak University‎, ‎Usak‎, ‎Turkey
2 Department of‎ ‎Mathematics‎, ‎Adnan Menderes University‎, ‎Aydin‎, ‎Turkey
Abstract
We first characterize $tau$-complemented modules with relative (pre)-covers. We also introduce an extending module relative to $tau$-pure submodules on a hereditary torsion theory $tau$ and give its relationship with $tau$-complemented modules.
Keywords
Subjects

Volume 41, Issue 5 - Serial Number 5
October 2015
Pages 1249-1257

  • Receive Date 18 March 2013
  • Revise Date 25 July 2014
  • Accept Date 05 August 2014