Pseudo-c*-injective and co-Hopfian Modules

Phan Hồng Tín

DOI: http://dx.doi.org/10.26459/jns.v116i2.3759

Abstract


The pseudo-c*-injective modules and rings have been introduced in [7]. In this paper, we study co-Hopfian pseudo-c*-injective modules. The main results are sufficient conditions which pseudo-c*-injective modules will be co-Hopfian. We show that the following conditions are equivalent for a pseudo-c*-injective module M:

(1) M is co-Hopfian.

(2) M is weakly co-Hopfian.

(3) M is directly finite.