U(g)-Galois extensions

被引：0
|
作者：
Parker, DB [1 ]
机构：
[1] Bemidji State Univ, Dept Math & Comp Sci, Bemidji, MN 56601 USA
来源：
COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 07期
关键词：
Hopf algebra; Galois extension; comodule algebra; faithfully flat; universal enveloping algebra;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper studies the structure of U(g)-Galois extensions. In particular, we use a result of Bell to construct a "PBW-like" free basis for faithfully flat U(g)-Galois extensions. We then move to non-faithfully flat extensions and propose a possible equivalent condition for a U(g)-extension to be Galois. We get a partial result for this.
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页码：2859 / 2870
页数：12
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