| Hochschild cohomology of truncated quiver algebras |
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| 作者姓名： | Yun-ge XU Yang HAN & Wen-feng JIANG Faculty of Mathematics & Computer Science Hubei University Wuhan China Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China |
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| 作者单位： | Yun-ge XU，Yang HAN & Wen-feng JIANG Faculty of Mathematics & Computer Science，Hubei University，Wuhan 430062，China; Academy of Mathematics and Systems Science，Chinese Academy of Sciences，Beijing 100080，China |
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| 摘 要： | For a truncated quiver algebra over a field of an arbitrary characteristic, its Hochschild cohomology is calculated. Moreover, it is shown that its Hochschild cohomology algebra is finitedimensional if and only if its global dimension is finite if and only if its quiver has no oriented cycles.
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| 收稿时间： | 10 September 2005 |
| 修稿时间： | 25 September 2006 |
Hochschild cohomology of truncated quiver algebras |
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| Yun-ge XU,Yang HAN & Wen-feng JIANG Faculty of Mathematics & Computer Science,Hubei University,Wuhan ,China, Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing ,China.Hochschild cohomology of truncated quiver algebras[J].Science in China(Mathematics),2007,50(5):727-736. |
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| Authors: | Yun-ge Xu Yang Han Wen-feng Jiang |
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| Institution: | 1. Faculty of Mathematics & Computer Science, Hubei University, Wuhan 430062, China
2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | For a truncated quiver algebra over a field of an arbitrary characteristic, its Hochschild cohomology is calculated. Moreover, it is shown that its Hochschild cohomology algebra is finitedimensional if and only if its global dimension is finite if and only if its quiver has no oriented cycles. |
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| Keywords: | truncated quiver algebra Hochschild cohomology global dimension oriented cycle |
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