Purely co-hopfian modules

الملخص EN

Let R be an associative ring with identity and M a non–zero unitary R-module.

In this paper we introduce the definition of purely co-Hopfian module, where an R-module M is said to be purely co-Hopfian if for any monomorphism f  End (M), Imf is pure in M and we give some properties of this kind of modules.