Algebraic topology: On results of quotient for topological modules

Abstract

In this paper, we have the principal goal is to study a topography property of important algebraic construction namely the quotient module. We use a new tool with a quotient module which is a tensor product of modules. Therefore all topography submodules in this notion are a tensor product. The meaning of the tensor module introduced in this notion and the important fact of this article is to explain the quotient module when all submodules are tensor. Finally, several results have been obtained about the direct sum of the finite quotient module