| 二元外代数的Z_n-Galois覆盖代数的Hochschild(上)同调群 |
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| 引用本文： | 侯波,徐运阁.二元外代数的Z_n-Galois覆盖代数的Hochschild(上)同调群[J].数学学报,2008,51(2):241-252. |
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| 作者姓名： | 侯波 徐运阁 |
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| 作者单位： | 湖北大学数学与计算机科学学院,武汉430062 |
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| 基金项目： | 国家自然科学青年基金（10501010）与湖北省教育厅重点基金（D200510005）资助项目 |
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| 摘 要： | 设Λ是特征不整除n的域k上的二元外代数,■是Λ的Zn-Galois覆盖代数.首先构造了■的极小投射双模分解,并由此清晰地计算了■的各阶Hochschild同调和上同调群的维数;并且在域的特征为零时,计算了■的循环同调群的维数.
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| 关 键 词： | Zn-Galois覆盖代数 二元外代数 Hochschild(上)同调群 |
| 文章编号： | 0583-1431（2008）02-0241-12 |
| 收稿时间： | 2006-05-30 |
Hochschild (Co)-Homology Groups of Zn-Galois Coverings of Exterior Algebras in Two Variables |
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| Bo HOU Yun Ge XU.Hochschild (Co)-Homology Groups of Zn-Galois Coverings of Exterior Algebras in Two Variables[J].Acta Mathematica Sinica,2008,51(2):241-252. |
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| Authors: | Bo HOU Yun Ge XU |
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| Institution: | Bo HOU Yun Ge XU Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, P. R. China |
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| Abstract: | LetΛbe the exterior algebras in two variables over a field k satisfying chark ■ n,■ be the Zn-Galois covering of ■. We construct a minimal projective bimodule resolution of ■, and then we can explicitly calculate the Hochschild homology and co-homology ofΛ. Moreover, the cyclic homology of ■ can be calculated in case the underlying field is of characteristic zero. |
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| Keywords: | Zn-Galois covering exterior algebra in two variables Hochschild (co)-homology group |
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