| n级三角矩阵环上的模范畴和同调特征 |
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| 引用本文： | 史美华,李方.n级三角矩阵环上的模范畴和同调特征[J].数学学报,2006,49(1):215-224. |
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| 作者姓名： | 史美华 李方 |
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| 作者单位： | [1]浙江教育学院理工学院,杭州310012 [2]浙江大学数学系,杭州310028 |
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| 基金项目： | 浙江省自然科学基金资助项目（102028） |
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| 摘 要： | 本文给出了n级三角矩阵环Гn的定义．证明了n级三角矩阵代数Гn上的有限生成模范畴mod Гn与范畴Гn(?)等价,得到了诸如Гn的Jacobson根,Гn(?)的不可分解投射对象的形式及Гn的整体维数等性质．
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| 关 键 词： | 三角矩阵环 范畴等价 不可分解的投射对象 |
| 文章编号： | 0583-1431（2006）01-0215-10 |
| 收稿时间： | 2004-12-09 |
| 修稿时间： | 2004-12-092005-03-22 |
The Category of Modules over a Triangular Matrix Ring of Order n and Its Homological Characterizations |
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| Mei Hua SHI, Fang LI.The Category of Modules over a Triangular Matrix Ring of Order n and Its Homological Characterizations[J].Acta Mathematica Sinica,2006,49(1):215-224. |
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| Authors: | Mei Hua SHI Fang LI |
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| Affiliation: | Mei Hua SHI Science School, Zhejiang Education Institute, Hangzhou 310012, P. R. China Fang LI Department of Mathematics, Zhejiang University, Hangzhou 310028, P. R. China |
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| Abstract: | Firstly, we introduce the concept of triangular matrix ring of order n. Then, it is shown that the category mod Гn of finitely generated modules over a triangular matrix algebra Гn of order n is equivalent to the category Г(?)n. Moreover, we give the Jacobson radical of Гn, indecomposable projective objects in the category Гn(?) and the global dimension of Гn. |
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| Keywords: | triangular matrix rings categorical equivalence indecomposable projective objects |
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