FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 5, PAGES 93-101

**Rings on almost completely decomposable Abelian groups**

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 $G$.
L. Fuchs formulated the problem on a description of absolute
radicals of Abelian groups.
For a group from some class of almost completely decomposable
Abelian groups the absolute Jacobson radical is described.
In the class of almost completely decomposable Abelian groups
semisimple groups are described.

Location: http://mech.math.msu.su/~fpm/eng/k08/k085/k08506h.htm

Last modified: May 6, 2009