On classical Krull dimension of group-graded rings

被引：4

作者：

Kelarev, AV ^{[1
]}

机构：

[1] UNIV TASMANIA,DEPT MATH,HOBART,TAS 7001,AUSTRALIA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1997年 / 55卷 / 02期

关键词：

D O I：

10.1017/S000497270003392X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any ring R graded by a finite group, we give a bound on the classical Krull dimension of R in terms of the dimension of the initial component R(e). It follows that if R(e) has finite classical Krull dimension, then the same is true of the whole ring R, too.

引用

页码：255 / 259

页数：5

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