ON ACTIONS OF CONNECTED HOPF ALGEBRAS

被引：0
|
作者：
Yammine, Ramy [1 ]
机构：
[1] Temple Univ, Dept Math, Philadelphia, PA 19122 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 05期
关键词：
D O I：
10.1090/proc/15377
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let H be a connected Hopf algebra acting on an algebra A. Working over a base field having characteristic 0, we show that for a given prime (semi-prime, completely prime) ideal I of A, the largest H-stable ideal of A contained in I is also prime (semi-prime, completely prime). We also prove a similar result for certain subrings of convolution algebras.
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页码：1973 / 1983
页数：11
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