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.

引用

页码：1973 / 1983

页数：11

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