ACCESSIBLE SUBRINGS AND KUROSH'S CHAINS OF ASSOCIATIVE RINGS

被引：3

作者：

Andruszkiewicz, Ryszard R. ^{[1
]}

Sobolewska, Magdalena ^{[1
]}

机构：

[1] Univ Bialystok, Inst Math, PL-15267 Bialystok, Poland

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2013年 / 95卷 / 02期

关键词：

stabilization of Kurosh's chains; construction of classes; accessible subrings; iterated maximal essential extensions of rings; completely normal rings; LOWER RADICAL CONSTRUCTION;

D O I：

10.1017/S1446788713000268

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article is devoted to the historical study of the ADS-problem with a special emphasis on the use of methods and techniques, emerging with the development of the theory of rings: accessible subrings, iterated maximal essential extensions of rings, completely normal rings. We construct new examples of classes for which Kurosh's chain stabilizes at any given step. We recall the old nontrivial questions, and we pose a new one.

引用

页码：145 / 157

页数：13

共 24 条

[1] ON THE STABILISATION OF ONE-SIDED KUROSH'S CHAINS [J].