Supplement-Duo Modules

Sahira M. Yaseen

Sahira M. Yaseen Department of Mathematics, Collegeof science/ University of Baghdad, Baghdad, Iraq

Keywords: Duo modules, supplement duo modules, weak duo modules, supplement submodules.

Abstract

In this note we consider a generalization of the notion of duo modules namely supplement duo modules. where an R module M is called a supplement duo module if every supplement submodule of M is a fully invariant. Many results about this concept are given. Also we study when the direct sum of supplement duo modules is supplement duo,and relationships between a supplement dou module and other modules.

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