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相对Hopf模的同调维数与半单性
引用本文:祝家贵.相对Hopf模的同调维数与半单性[J].东北数学,2004,20(3):363-368.
作者姓名:祝家贵
作者单位:DepartmentofMathematics,UniversityofScienceandTechnologyofChina,Hefei,230026//DepartmentofMathematics,WestAnhuiUniversity,Luan,Anhui,237012
基金项目:The Fundation of Key Research Program (02021029) and the NSF (2004kj352) of Anhui Province, China.
摘    要:Let H be a Hopf algebra over a field with bijective antipode, and A a commutative cleft right H-comodule algebra. In this paper, we investigate the ho-mological dimensions and the semisimplicity of the category of relative Hopf modulesAMH.

关 键 词:霍普夫加法群  同调维  半单一性  交换代数

Homological Dimensions and Semisimplicity of Relative Hopf Modules
ZHU Jia-gui.Homological Dimensions and Semisimplicity of Relative Hopf Modules[J].Northeastern Mathematical Journal,2004,20(3):363-368.
Authors:ZHU Jia-gui
Abstract:Let H be a Hopf algebra over a field with bijective antipode, and A a commutative cleft right H-comodule algebra. In this paper, we investigate the homological dimensions and the semisimplicity of the category of relative Hopf modules A^M^H.
Keywords:relative Hopf module  homological dimension  semisimplicity
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