论文标题

有限等级的无扭转环

Centrally Essential Torsion-Free Rings of Finite Rank

论文作者

Lyubimtsev, Oleg, Tuganbaev, Askar

论文摘要

事实证明,中央必不可少的环(其有限等级的添加剂组为有限级的扭转组)是准不变的,但不一定是不变的。无扭转的无扭转有限排名与中央基本的内态戒指是忠实的。该论文将出现在beiträgezur代数和几何 /对代数和几何形状的贡献中。

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 Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry.

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