Group-graded rings and finite block theory

被引：9

作者：

Fan, Y ^{[1
]}

Külshammer, B

机构：

[1] Wuhan Univ, Wuhan 430072, Peoples R China

[2] Univ Jena, D-07740 Jena, Germany

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2000年 / 196卷 / 01期

关键词：

D O I：

10.2140/pjm.2000.196.177

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Affirmative answers to two questions of Dade are given: 1. If the 1-component R-1 of a ring R graded by a finite group contains only finitely many central idempotents then so does R. 2. If R is a ring fully graded by a finite group G and if S is a G-invariant unitary subring of R then, for every block idempotent a of R, the block idempotents b of S such that ab not equal = 0 form a single G-orbit.

引用

页码：177 / 186

页数：10