On Proper Class Coprojectively Generated by Modules With Projective Socle

Authors : Ayşe Çobankaya

Pages : 79-87

View : 15 | Download : 9

Publication Date : 2020-09-30

Article Type : Research

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