This article is cited in 6 papers

Abelian dqt-groups and rings on them

E. I. Kompantseva

Financial University under the Government of the Russian Federation, Moscow, Russia

Abstract: 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.

UDC: 512.541

 English version: Journal of Mathematical Sciences (New York), 2015, 206:5, 494–504

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