On the nilpotency of the Jacobson radical for noetherian rings

被引：1

作者：

Krause, H ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

ARCHIV DER MATHEMATIK | 1998年 / 70卷 / 06期

关键词：

Natural Number; Noetherian Ring; Jacobson Radical;

D O I：

10.1007/s000130050216

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a right noetherian ring of Krull dimension k and denote by J its Jacobson radical. Using a new definition of the powers J(alpha) (alpha any ordinal) it is shown that J(omega k+n) = 0 for some natural number n.

引用

页码：435 / 437

页数：3

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