| Hopf代数交叉积的同调维数 |
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| 引用本文： | 王志玺,武艳辉.Hopf代数交叉积的同调维数[J].东北数学,2004,20(4):403-410. |
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| 作者姓名： | 王志玺 武艳辉 |
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| 作者单位： | Department of Mathematics Capital Normal University，Beijing，100037，School of Basic Courses Beijing Broadcasting Institute，Beijing，100024 |
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| 基金项目： | Foundationitem:The NSF(10271081)of China
the NSF(1042004)of Beijing City |
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| 摘 要： | Let H be a finite dimensional cocommutative Hopf algebra and A an H-module algebra, ln this paper, we characterize the projectivity (injectivity) of M as a left A#σ H-module when it is projective (injective) as a left A-module. The sufficient and necessary condition for A#σ H, the crossed product, to have finite global homological dimension is given, in terms of the global homological dimension of A and the surjectivity of trace maps, provided that H is cocommutative and A is commutative.
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| 关 键 词： | 弱酌量 交叉乘积 同维 霍普夫代数 |
Homological Dimension of Crossed Products of Hopf Algebras |
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| WANG Zhi-xi.Homological Dimension of Crossed Products of Hopf Algebras[J].Northeastern Mathematical Journal,2004,20(4):403-410. |
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| Authors: | WANG Zhi-xi |
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| Institution: | [1]DepartmentofMathematics,CapitalNormalUniversity,Beijing,100037 [2]SchoolofBasicCourses,BeijingBroadcastingInstitute,Beijing,100024 |
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| Abstract: | |
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| Keywords: | homological dimension weak action crossed product |
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