Centrally Essential Endomorphism Rings of Abelian Groups
Abstract
We study Abelian groups A with centrally essential endomorphism ring End\,A. If A is a such group which is either a torsion group or a non-reduced group, then the ring End\,A is commutative. We give examples of Abelian torsion-free groups of finite rank with non-commutative centrally essential endomorphism rings. The paper will appear in Communications in Algebra.
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