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R-交叉积上的Hopf代数结构 被引量：1

Hopf algebra structures on R-crossed product
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摘要 给出了R-交叉积的定义,并给出了R-交叉积代数结构和W-Smash余积余代数结构构成双代数的一个充分必要条件. A definition of R-crossed product was given,a necessary and sufficient condition for the R-crossed product algebra structure and the W-smash coproduct coalgebra structure to form a bialgebra was found.
作者 郑乃峰
机构地区 宁波大学理学院
出处 《浙江大学学报（理学版）》 CAS CSCD 2012年第4期367-370,共4页 Journal of Zhejiang University（Science Edition）
基金 宁波市自然科学基金资助项目(2011A610172) 浙江省教育厅科研项目(Y200906783)
关键词 HOPF代数 R-交叉积 W-Smash余积 Hopf algebra R-crossed product W-smash coproduct
分类号 O15 [理学—基础数学]
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二级参考文献24

  • 1Bohm, G., Nill, F., Szlemhanyi, K., Weak Hopf algebras I: Integral theory and C^*-structure, J. Algebra, 1999, 221: 385-438.
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  • 7Duan S.G., Zhang L.J., Li X.L., The twisted weak smash product over Hopf algebras, J. Hebei Normal University, 2006, 30(1): 1-4(in Chinese).
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  • 9Molnar, R.K., Semi-direct products of Hopf algebras, J. Algebra, 1977, 47: 29-51.
  • 10Wang S.H., Li J.Q., On twisted smash products for bimodule algebras and the Drinfeld double, Comm. algebra, 1998, 26(8): 2435-2444.

共引文献9

同被引文献7

  • 1CAENEPEEL S,ION B,MILITARU G. The factorization problem and the smash biproduct of algebras and coalgebras[J].Alg Repr Theory,2000.19-42.
  • 2DASCALESCU S,RAIANU C,ZHANG Y. Finite Hopf-Galois coextensions,crossed coproducts and duality[J].Journal of Algebra,1995.400-413.
  • 3WANG S H,WANG D G,YAO Z P. Hopf algebra structure over crossed coproducts[J].Southeast Asian Bulletin of Mathematics,2000.105-113.
  • 4YOON S B. The crossed coproduct Hopf algebras[J].Bulletin of the Korean Mathematical Society,2001,(03):527-541.
  • 5SWEEDLER M. Hopf Algebra[M].New York:Benjamin,1969.
  • 6WANG S H,JIAO Z M,ZHAO W Z. Hopf algebra structures on crossed products[J].Communications in Algebra,1998,(04):1293-1303.
  • 7RADFORD D E. The structure of Hopf algebras with a projection[J].Journal of Algebra,1985.322-347.

引证文献1

浙江大学学报（理学版）
2012年 第4期

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