ON THE RELATIVE (QUASI-) DISCRETENESS OF MODULES


KESKİN TÜTÜNCÜ D., Ertas N. O.

5th China-Japan-Korea International Symposium on Ring Therory 2007, Tokyo, Japan, 10 - 15 September 2007, pp.225-226 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • Doi Number: 10.1142/9789812818331_0019
  • City: Tokyo
  • Country: Japan
  • Page Numbers: pp.225-226

Abstract

In this paper we investigate the relative (quasi-) discreteness of any module M with respect to any module N. Let 0 -> N' -> N -> N '' -> 0 be an exact sequence and let M be an N-amply supplemented module. Assume that B(M/T, N) is closed under supplement submodules for every factor module M/T of M. Then M is N-lifting(quasi-discrete) if and only if M is N'- and N ''-Iifting(quasi-discrete).