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Information Journal Paper

Title

LA-semiperfect modules

Pages

  31-37

Keywords

‎$\mathcal{LA}$-semiperfect module 

Abstract

 Inspired in [7],  ‎we strengthened semiperfect modules to $\mathcal{LA}$-semiperfect modules by adding the concept of locally artinian submodule and we proved that the concept of these modules is not empty‎. ‎Then we characterized these projective modules with the help of defining $\mathcal{LA}$-projective covers‎. ‎Thus we achived the necessary and sufficient condition for the projective module between the notion of $\mathcal{LA}$-semiperfect modules and the notion of locally artinian supplemented modules.

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