Almost Quasi-mininjective Modules

Authors

  • Sarun Wongwai

Keywords:

Almost Quasi-mininjective Modules, Endomorphism Rings

Abstract

Let gif.latex?M be a right gif.latex?R-module, gif.latex?S=\text{End}_{R}(M). The module gif.latex?M is called almost quasi-mininjective (or gif.latex?AQ-mininjective ) if, for any simple gif.latex?M-cyclic submodule gif.latex?s(M) of gif.latex?M, there exists a left ideal gif.latex?X_{s} of gif.latex?S such that gif.latex?l_{S}(Ker(s))=Ss&space;\oplus&space;X_{s} as left gif.latex?S-modules. In this paper, we give some characterizations and properties of gif.latex?AQ-mininjective modules.

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Published

2019-12-14

Issue

Section

Research Articles