|
Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 3, Pages 69–80
(Mi fpm1028)
|
|
|
|
This article is cited in 3 scientific papers (total 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.
Received: 01.05.2006
Citation:
E. I. Kompantseva, “Semisimple rings on completely decomposable Abelian groups”, Fundam. Prikl. Mat., 13:3 (2007), 69–80; J. Math. Sci., 154:3 (2008), 324–332
Linking options:
https://www.mathnet.ru/eng/fpm1028 https://www.mathnet.ru/eng/fpm/v13/i3/p69
|
Statistics & downloads: |
Abstract page: | 380 | Full-text PDF : | 152 | References: | 66 | First page: | 1 |
|