A Variation of Coretractable Modules


ORHAN ERTAŞ N., KESKİN TÜTÜNCÜ D. , Tribak R.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, vol.41, no.3, pp.1275-1291, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.1007/s40840-016-0390-7
  • Title of Journal : BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Page Numbers: pp.1275-1291

Abstract

A right R-module M is called coretractable (s-coretractable) if Hom(M/K, M) not equal 0 for any proper submodule (supplement submodule) K of M. In this article, we continue the study of coretractable modules. Then we study s-coretractable modules. It is shown that this property is not inherited by direct summands and a direct sum of s-coretractable modules may not be s-coretractable. Examples are provided to illustrate and delineate the results.