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.

Location: http://mech.math.msu.su/~fpm/eng/k13/k133/k13305h.htm

Last modified: March 4, 2014