Direct summands of circle plus-supplemented modules


Orhan N., Tuetuencue D. K. , Tribak R.

ALGEBRA COLLOQUIUM, vol.14, no.4, pp.625-630, 2007 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.1142/s1005386707000570
  • Journal Name: ALGEBRA COLLOQUIUM
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.625-630

Abstract

A module M is called circle plus-supplemented if every submodule of M has a supplement that is a direct summand of M. It is shown that if M is a circle plus-supplemented module and r(M) is a coclosed submodule of M for a left preradical r, then r(M) is a direct summand of M, and both r(M) and M/r(M) are circle plus-supplemented.