Fully Cancellation and Naturally Cancellation Modules

Inaam M A Hadi; Alaa A Elewi

Fully Cancellation and Naturally Cancellation Modules

Authors

Inaam M A Hadi Department of Mathematics, College of Education for Pure Science Ibn-Al-haithum, Baghdad University.
Alaa A Elewi Department of Mathematics, College of Science, Baghdad University.

Keywords:

Fully cancellation modules, Naturally cancellation modules, Weak-cancellation module

Abstract

In this paper, we introduce two types of cancellation modules namely fully cancellation and naturally cancellation. Some characterizations of these concepts are given and some properties of these concepts in the class of multiplication modules are presented. Also the direct sum of fully cancellation module and the behaviour of fully cancellation (naturally cancellation) are discussed.