ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS

Abstract

A ring $R$ is called left comorphic if for every $a\in R$ there exists $b\in R$ such that the left and right annihilators satisfy $Ra=l(b)$ and $r(a)=bR$. In this paper, the Abelian groups with left comorphic endomorphism rings are completely determined.

Keywords

• Left comorphic ring
• Abelian group
• endomorphism ring

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