| Gorenstein预盖、预包络和交叉积（英文） |
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| 引用本文： | 潘群星,朱晓莉,李强. Gorenstein预盖、预包络和交叉积（英文）[J]. 南京大学学报(自然科学版), 2011, 0(2): 187-194 |
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| 作者姓名： | 潘群星 朱晓莉 李强 |
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| 作者单位： | 南京农业大学理学院,南京210095 |
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| 基金项目： | Supported by the Youth Innovation Foundation of Nanjing Agricultural University （LXYQ201101107）. |
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| 摘 要： | 记A#_σH是由代数A和Hopf代数H构成的交叉积.我们的主要目的是探索左A-模范畴与左A#_σH-模范畴之间的Gorenstein投射（平坦）预盖和Gorenstein内射预包络的稳定性.进而,我们可以研究Gorenstein维数.
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| 关 键 词： | 预盖 预包络 Gorenstein维数 交叉积 |
GORENSTEIN PRECOVERS AND PREENVELOPES AND CROSSED PRODUCTS |
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| Pan Qunxing,Zhu Xiaoli and Li Qiang. GORENSTEIN PRECOVERS AND PREENVELOPES AND CROSSED PRODUCTS[J]. Journal of Nanjing University: Nat Sci Ed, 2011, 0(2): 187-194 |
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| Authors: | Pan Qunxing Zhu Xiaoli Li Qiang |
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| Affiliation: | ( School of Science, Nanjing Agricultural University, 210095, Nanjing PRC) |
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| Abstract: | Let A#δH be the crossed product of an algebra A with a Hopf algebra H. Our main aim is to explore the stability of the Gorenstein projective （flat＇） precovers and Gorenstein injective preenvelopes between the category of left A-modules and the category of left A#δH-modules, which allows us to study the Gorenstein dimensions. Keywords precover, preenvelope, Gorenstein dimension, crossed product |
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| Keywords: | precover preenvelope Gorenstein dimension crossed product |
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