| 交叉积的有限表现维数 |
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| 引用本文： | 沈炳良,刘玲.交叉积的有限表现维数[J].浙江师范大学学报(自然科学版),2013(4):392-395. |
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| 作者姓名： | 沈炳良 刘玲 |
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| 作者单位： | [1]上海财经大学浙江学院公共基础教育部,浙江金华321013 [2]浙江师范大学数理与信息工程学院,浙江金华321004 |
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| 基金项目： | 国家自然科学专项基金--天元基金资助项目（11226073）;浙江省教育厅科研项目（Y201121955） |
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| 摘 要： | 探讨了Hopf代数上的交叉积A#σH和其子代数A之间的有限表现维数的关系；研究了交叉积A#σH成为n—Gorenstein代数的条件．所得结果与著名的Gorenstein对称猜想有一定的联系．
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| 关 键 词： | 交叉积 有限表现维数 Gorenstein代数 Gorenstein对称猜想 |
The finitely presented dimension of crossed products |
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| SHEN Bingliang,LIU Ling.The finitely presented dimension of crossed products[J].Journal of Zhejiang Normal University Natural Sciences,2013(4):392-395. |
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| Authors: | SHEN Bingliang LIU Ling |
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| Institution: | 1. Shanghai University of Finance and Economics Zhejiang College, Jinhua Zhefiang 321013, China; 2. College of Mathematics, Physics and Information Engineering ,Zhejiang Normal University , Jinhua Zhefiang 321004 , China ) |
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| Abstract: | The relationship of finitely presented dimensions between the crossed product A#σH and its subalge-bra A was given. Conditions for the crossed product A#σH being an n-Gorenstein algebra was also studied. The obtained results had some connections with the famous Gorenstein symmetric conjecture. |
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| Keywords: | crossed product finitely presented dimension Gorenstein algebra Gorenstein symmetric conjec-ture |
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