Homological Dimension of Crossed Products of
Hopf Algebras
王志玺;武艳辉
【期刊名称】《东北数学：英文版》 【年(卷),期】2004(020)004
【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.
【总页数】8页(P.403-410)
【关键词】弱酌量;交叉乘积;同维;霍普夫代数 【作者】王志玺;武艳辉 【
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DepartmentofMathematics,CapitalNormalUniversity,Beijing,100037;SchoolofBasicCourses,BeijingBroadcastingInstitute,Beijing,100024 【正文语种】英文 【中图分类】O153 【相关文献】
Homological Dimension of Crossed Products of Hopf Algebras
