Abstract
We study Abelian groups whose endomorphism rings are V-rings. Let [Formula: see text] be a non-reduced Abelian group, We prove that [Formula: see text] is a V-ring on either side if and only if [Formula: see text] where [Formula: see text] is a tame elementary Abelian group. We observe that a reduced group whose endomorphism is a V-ring, is an sp-group. Recognizing that [Formula: see text] is also an sp-group of [Formula: see text], we show that [Formula: see text] is a V-ring if and only if [Formula: see text] is a V-ring.
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