مقدمه اي بر اشياء هوپفي و دوگان - هوپفي

Introduction to Hopfian and Co - Hopfian Objects

The present paper studies the Hopfian and Co - Hopfian objects in the category of rings and modules. Also the Hopfian and Co - Hopfian topological spaces, algebras and lattices are introduced, and the Hopfian and CO - Hopfian modules are charaterized. Furtheremore, the connection between the Hopfian and Co - Hopfian algebras and topological spaces is discussed.