On Proper Class Coprojectively Generated by Modules With Projective Socle

Abstract

Let $\varepsilon$ : 0 --> A -->^f B -->^g C --> 0 be a short exact sequence of modules and module homomorphism. $\varepsilon$ is called gd-closed sequence if Imf is gd-closed in B. In this paper, the proper class $GD$− Closed, which is coprojectively generated by modules with projective socle, be studied and also its relations among Neat, Closed, $D$−Closed, $S$−Closed be investigated. Additionally, we examine coprojective modules of this class.                                                                 

                                                                                                                                                                                                                                                                      .

Keywords

• Gd-closed,
• g-semartinian modules
• G-Dickson torsion theory
• gdc-flat modules

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