ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS

Authors : Grigore CALUGAREANU, Andrey CHEKHLOV

Pages : 217-230

Doi:10.24330/ieja.969907

View : 18 | Download : 10

Publication Date : 2021-07-17

Article Type : Research Paper

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 $Ra=linsert ignore into journalissuearticles values(b);$ and $rinsert ignore into journalissuearticles values(a);=bR$. In this paper, the Abelian groups with left comorphic endomorphism rings are completely determined.
Keywords : Left comorphic ring, Abelian group, endomorphism ring