Noetherian unique factorization semigroup algebras

被引：5
|
作者：
Jespers, E
Wang, Q
机构：
[1] Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium
[2] Mem Univ Newfoundland, Dept Math & Stat, St Johns, NF A1C 5S7, Canada
来源：
COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 12期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1081/AGB-100107954
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate when semigroup algebras K[S] of submonoids S of torsion free polycyclic-by-finite groups G are Noetherian unique factorization rings in the sense of Chatters and Jordan, that is. every prime ideal contains a principal height one prime ideal. For the group algebra K[G] this problem was solved by Brown.
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页码：5701 / 5715
页数：15
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