Malaysian Journal of Mathematical Sciences, December 2024, Vol. 18, No. 4
On the Relation Between Topological Free and Topological Dual Injective Modules
Alkhayyat, H. K. H., Mahameed, A. I., and Salih, M. A.
Corresponding Email: [email protected]
Received date: 4 April 2024
Accepted date: 8 August 2024
Abstract:
Algebraic topology is a branch of mathematics which use the concepts of abstract algebra to study topological spaces in which to find algebraic invariants that classify topological spaces up to homeomorphism. In this paper, the basic properties of some concepts on algebraic topology such as the topological ring, the topological module, and the topological free module were recalled, which were helped to define new concepts and proof some of there properties as a new results. Then, some results related to the relation between the free topological module and homomorphism topology. As in any application will be introduced, the tensor concept will be chosen to explain the new results related to the topological module.
Keywords: topological ring; topological module; topological free module; homomorphism topological module; topological dual injunctive
