Geodesic
Semisimple rings on completely decomposable Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 69-80 
E. I. Kompantseva. Semisimple rings on completely decomposable Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 69-80. http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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