This article is cited in 3 papers

Semisimple rings on completely decomposable Abelian groups

E. I. Kompantseva

Moscow State Pedagogical University

Abstract: An Abelian group is said to be semisimple if it is the additive group of some semisimple associative ring. The problem of description of semisimple groups was formulated by Beaumont and Lawver; later this problem was reduced to the case of reduced groups. In this paper, we describe semisimple groups in the class of countable completely decomposable groups.

UDC: 512.541

Received: 01.05.2006

 English version: Journal of Mathematical Sciences (New York), 2008, 154:3, 324–332

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