Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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The Endomorphism Ring of a Square-free Injective Module

Mai Hoang Bien

pp. 683-687

Abstract

Let $M_R$ be an injective right module over a ring $R$. The goal of this paper is to prove that the endomorphism ring $S=\mathrm{End}(M_R)$ of $M_R$ is quasi-duo if and only if $M_R$ is square-free.