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
收藏
页码：435 / 437
页数：3
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