弱Hopf Galois扩张的Cotorsion维数  

Cotorsion Dimension of Weak Hopf Galois Extensions

作　　者：郭双建[1] 李怡铮[1] 

机构地区：[1]贵州财经大学数学与统计学院,贵阳550025

出　　处：《吉林大学学报（理学版）》2016年第6期1211-1215,共5页Journal of Jilin University:Science Edition

基　　金：中国博士后基金面上项目(批准号:2015M580508);贵州省科技厅项目基金(批准号:2014GZ81365);贵州省高校优秀科技创新人才支持计划项目(批准号:黔教合KY字[2015]481)

摘　　要：考虑在Ext群上构造Grothendieck谱序列揭示弱Hopf Galois扩张的cotorsion维数.设H为有限维弱Hopf代数,A/B为弱H-Galois扩张,给出A,B的左cotorsion维数与H的右整体维数之间的关系,并讨论当B为可换的或H*为半单时,A,B的左cotorsion维数的性质.We consider and construct a Orothendieck spectral sequence on me Ext groups to reveal the cotorsion dimensions of weak Hopf-Galois extensions. Let H be a finite dimensional weak Hopf algebra and A/B a weak H-Galois extension, we give the relationship between the left eotorsion dimensions of A,B and the right global dimensions of H, and discuss the properties of the left cotorsion dimensions of A.B when B is commutative or H＂ is semisimple.

关 键 词：弱Hopf GALOIS扩张 弱Hopf余模代数 cotorsion维数 弱交叉积 

分 类 号：O153.3[理学—数学]