y-Closed-Pseudo-Projective Modules

A. A. Arabi

M. S. Nayef

DOI: https://doi.org/10.47831/mjpas.v1i2.32

Keywords: Y-closed-pseudo-projective, Y-closed submodule, YCP-K-projective module, YCPP-module, Co-Hopfian.


Abstract

In this work, we present new concept which is y-closed-pseudo-projective module (briefly, YCP-projective module). This work which is generalization of pseudo-projective modules. We have provided some characteristics and descriptions of those concepts. Semi-simple modules have been characterized in terms of YCP- projective modules. We have shown the relationships of YCP-projective with other concepts, including a Co-Hopfian, directly finite modules.