FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 3, PAGES 53-67

Abelian dqt-groups and rings on them

E. I. Kompantseva

Abstract

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The absolute radical of an Abelian group $G$ is the intersection of radicals of all associative rings with additive group $G$. The problem of describing absolute radicals was formulated by L. Fuchs. He described the absolute Jacobson radical of a torsion Abelian group. In this work, the absolute Jacobson radical and the absolute nil-radical are investigated in some mixed Abelian group classes.

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Last modified: March 4, 2014