Adjoint Functors and Representation Dimensions

被引：0

作者：

Chang Chang XI ^{[1
]}

机构：

[1] School of Mathematical Sciences, Beijing Normal University

来源：

ActaMathematicaSinica(EnglishSeries) | 2006年 / 22卷 / 02期

关键词：

adjoint functor; representation dimension; global dimension; tilting module group algebra;

D O I：

暂无

中图分类号：

O153 [抽象代数（近世代数）];

学科分类号：

070104 ;

摘要：

We study the global dimensions of the coherent hunctors over two categories that are linked by a pair of adjoint functors. This idea is then exploited to compare the representation dimensions of two algebras. In particular, we show that if an Artin algebra is switched from the other, then they have the same representation dimension.

引用

页码：625 / 640

页数：16

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