Topological Modules

Gayathri.G, Gayathri.V

Abstract: In this article we discuss the Topological Modules. If Topological Modules is Hausdorff then its structure is usual one meaning by this that there exists an isomorphism of M onto R. If M is a module then M is algebraically isomorphic to R. Consider modules over the ring R of real or complex numbers which is given the usual Euclidean Topology defined by means of the vector spaces.

Keywords: Topological modules, Isomorphism, Euclidean Topology