Author/Authors :
Mahmood, Layla S. University of Baghdad - Ibn-Al-Haitham College of Education - Department of Mathematics, Iraq , Shihab, Bothaynah N. University of Baghdad - Ibn-Al-Haitham College of Education - Department of Mathematics, Iraq , Rasheed, Thair S. University of Baghdad - Ibn-Al-Haitham College of Education - Department of Mathematics, Iraq
Abstract :
Let R be a commutative ring with identity and M be unitary (left) R-module. We shall introduce the concepts of relatively cancellation modules (weakly relatively cancellation modules. Clearly, the class of weakly relatively cancellation modules contains the class of relatively cancellation modules. The principal aim of this paper is to study in some details these two concepts. We give necessary and (or) sufficient for these two types of modules to be equivalent.