On S*-supplemented modules

Abstract EN

The main goal of this paper is to introduce and study a new concept named d*-supplemented which can be considered as a generalization of W- supplemented modules and -hollow module.

Also, we introduce a d*-supplement submodule.

Many relationships of d*-supplemented modules are studied.

Especially, we give characterizations of d*-supplemented modules and relationship between this kind of modules and other kind modules for example every -hollow (-local) module is d*-supplemented and by an example we show that the converse is not true.