Finite block theory and Hopf algebra actions

被引：3

作者：

Bergen, Jeffrey ^{[1
]}

Grzeszczuk, Piotr ^{[2
]}

机构：

[1] De Paul Univ, Dept Math, Chicago, IL 60614 USA

[2] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2008年 / 11卷 / 01期

关键词：

finite block theory; Hopf algebra; ring;

D O I：

10.1007/s10468-007-9082-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A ring is said to have finite block theory if it can be written as the finite direct sum of indecomposable subrings. In the paper, algebras R are acted on by Hopf algebras H. We prove a series of going up and going down results analyzing when R and its subalgebra of invariants R(H) have finite block theory. We also provide counterexamples when the hypotheses of our main results are weakened.

引用

页码：1 / 23

页数：23

共 12 条

[1] Identities of algebras with actions of Hopf algebras [J].