| Adjoint Functors and Representation Dimensions |
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| 作者姓名： | Chang Chang XI |
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| 作者单位： | School of Mathematical Sciences, Beijing Normal University, Beijing 100875 P. R, China |
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| 基金项目： | The research work is mainly supported by the Cultivation Fund of the Key Scientific and Technical Innovation Project （707004）, and the Doctorate Program Foundation （20040027002）, Ministry of Education of China. The partial support from NSF of China is also acknowledged. I would like to thank the referee for his or her kind suggestions for improving my English language. |
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| 摘 要： |
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| 关 键 词： | 伴随矩阵函子 表征维数 整体域 群代数 |
| 收稿时间： | 2005-05-20 |
| 修稿时间： | 2005-05-202005-09-14 |
Adjoint Functors and Representation Dimensions |
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| Chang Chang XI.Adjoint Functors and Representation Dimensions[J].Acta Mathematica Sinica,2006,22(2):625-640. |
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| Authors: | Chang Chang Xi |
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| Institution: | (1) School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China |
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| Abstract: | We study the global dimensions of the coherent functors 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. |
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| Keywords: | adjoint functor representation dimension global dimension tilting module group algebra |
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