ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS

Year 2021, Volume: 30 Issue: 30, 217 - 230, 17.07.2021

Grigore Calugareanu Andrey Chekhlov

https://doi.org/10.24330/ieja.969907

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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