Rings on almost completely decomposable Abelian groups

被引：0

作者：

Kompantseva E.I. ^{[1
]}

机构：

[1] Moscow Pedagogical State University, Moscow

来源：

Journal of Mathematical Sciences | 2009年 / 163卷 / 6期

关键词：

Abelian Group; Associative Ring; Ring Type; Regulator Index; Semisimple Group;

D O I：

10.1007/s10958-009-9705-7

中图分类号：

学科分类号：

摘要：

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. © 2009 Springer Science+Business Media, Inc.

引用

页码：688 / 693

页数：5

共 6 条

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[2] Blagoveshchenskaya E., Mader A., Et al., Decomposition of almost completely decomposable Abelian groups, Abelian Group Theory and Related Topics. Conf. August 1-7, 1993, 171, pp. 21-36, (1994)
[3] Fuchs L., Infinite Abelian Groups, 1-2, (1970)
[4] Jacobson N., Structure of Rings, (1956)
[5] Kompantseva E.I., Semisimple rings on almost completely decomposable Abelian groups, Fundam. Prikl. Mat., 13, 3, pp. 69-80, (2007)
[6] Mader A., Almost Completely Decomposable Abelian Groups, 13, (1999)

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