Pseudo-c*-injective and co-Hopfian Modules
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.
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