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弱Hopf代数在FBN环上的作用

Actions of Weak Hopf Algebras on Fully Bounded Noetherian Rings
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摘要 设H是弱Hopf代数,A是H-模代数,AH是其不变子代数.介绍并研究了弱Hopf代数及其上的冲积概念和性质.主要给出了在弱Hopf代数的情况下,A是FBN代数当且仅当AH也是这一性质成立的条件. Let H be a weak Hopf algebra and A be an H-module algebra with its invariant subalgebra A^H. The notions of a weak Hopf algebra and a smash product over weak Hopf algebra are Introduced. Moreover, the conditions such that A is an FBN algebra if and only if so is A^H, are given.
作者 张春花 侯波 蔡炳苓
机构地区 衡水广播电视大学理工教研室 河北师范大学数学与信息科学学院
出处 《河北师范大学学报（自然科学版）》 CAS 北大核心 2008年第5期561-564,580,共5页 Journal of Hebei Normal University：Natural Science
基金 河北省自然科学基金(A2008000135) 河北师范大学博士基金(L2006B06)
关键词 弱HOPF代数 冲积 FBN环 weak Hopf algebra smash product FBN ring
分类号 O153 [理学—基础数学]
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参考文献13

  • 1DASCALESCU S, KELAREV A V, TORRECILLAS B. FBN Hopf Module Algebras [J ]. Commin Algebra, 1997,25 ( 11 ) : 3 521-3 529.
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二级参考文献16

  • 1Bohm G., Nill F., Szlachanyi K., Weak Hopf algebras 1: Integral theory and C^*-structure, J. Algebra, 1999,221: 385-438.
  • 2Montgomery S., Hopf algebras and their actions on rings, CBMS Regional Conference Series in Mathematics,82, AMS, 1993.
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  • 8Molnar R. K., Semi-direct product of Hopf algebras, J. Algebra, 1997, 47: 29-51.
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  • 10Nikshych D., A duality theorem for quantum groupoids, Contemp. Math., 2000, 267: 237-243.

共引文献2

河北师范大学学报（自然科学版）
2008年 第5期

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