Centrally Essential Torsion-Free Rings of Finite Rank

Abstract

It is proved that centrally essential rings, whose additive groups of finite rank are torsion-free groups of finite rank, are quasi-invariant but not necessarily invariant. Torsion-free Abelian groups of finite rank with centrally essential endomorphism rings are faithful. The paper will appear in Beitr\"age zur Algebra und Geometrie / Contributions to Algebra and Geometry.