Polycyclic-by-finite group algebras are catenary

被引：0
|
作者：
Letzter, ES [1 ]
Lorenz, M
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
[2] Temple Univ, Dept Math, Philadelphia, PA 19122 USA
来源：
MATHEMATICAL RESEARCH LETTERS | 1999年 / 6卷 / 02期
关键词：
group algebra; polycyclic-by-finite group; prime ideal; catenary ring; noetherian ring; second layer condition;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that group algebras kG of polycyclic-by-finite groups G, where k is a field, are catenary: If P = I-0 not subset of or equal to I-1 not subset of or equal to ... not subset of or equal to I-m = P' and P = J(0) not subset of or equal to J(2) not subset of or equal to ... not subset of or equal to J(n) = P' are both saturated chains of prime ideals of kG, then m = n.not subset of or equal to
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页码：183 / 194
页数：12
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