期刊文献+

Hopf π-子模 被引量:1

Hopf π-submodule
下载PDF
导出
摘要 设H为有限型Hopf π-代数,研究Hopf π-代数H上的Hopf π-模与Hopf π-余代数H*上的Hopf π-余模之间的对偶关系,得出了Hopf π-子模与Hopf π-子余模之间的充分必要条件,推广了Hopf代数中的相关结论. In this paper,let H be a finite type Hopf π-algebra,the author studies the dual relation between a Hopf π-module of Hopf π-algebra H and a Hopf π-comodule of Hopf π-coalgebra H*.In the final,some necessary and sufficient conditions between Hopf π-submodule and Hopf π-subcomodule are obtained.
作者 赵士银
出处 《纯粹数学与应用数学》 CSCD 2011年第1期45-50,共6页 Pure and Applied Mathematics
基金 国家自然科学基金(10771183) 宿迁学院自然科学基金(2010KY06)
关键词 HOPF Π-代数 Π-模 HOPF π-子模 Hopf π-algebra π-module Hopf π-submodule
  • 相关文献

参考文献7

二级参考文献26

  • 1Fischman, D., Montgomery, S.: A Schur double centralizer theorem for cotriangular Hopf algebras and generalizer Lie Algebras. J. Algebra, 168, 594-614 (1994)
  • 2Milnor, J. W., Moore, J. C.: O~n the structure of Hopf algebras. Annals of Math, 81, 211-264 (1965)
  • 3Scheunert, M.: Generalized Lie algebras. J. Math. Phys., 20, 712-720 (1979)
  • 4Sun, J. H.: Equivalence of x-Hopf algebras. Acta Mathematica Scientia, 23B(2), 239-246 (2003)
  • 5Sun, J. H., Li, S. Z.: Some constructions of twisted Hopf algebras. Math. Sci. Res. J, 6(7), 354-360 (2002)
  • 6Nastasescu, C., Van Oystaeyen, F.: Graded ring theory, North-Holland, Amsterdam, 1982
  • 7Cohen, M., Montgomery, S.: Group-graded rings, smash products, and group actions, TAMS, 282(1), 237-258 (1984)
  • 8Nastasescu, C., Torrecillas, B.: Graded coalgebras. Tsukuba J. math, 17(2), 461-479 (1993)
  • 9Montgomery, S.: Hopf Algebras and Their Actions on Rings, CBMS Lecture 82, 1993
  • 10Zhang, J. J.: Twisted graded algebras and equivalences of graded categories. Proc. London Math. Soc., 72(3), 281-311 (1996)

共引文献25

同被引文献8

  • 1Virelizier A. Hopf group coalgebras [J]. Journal of Pure and Applied Algebra, 2002,171(1):75-122.
  • 2Zhu Meiling, Chen Huixiang. Coquasitriangular Hopf group coalgebras and braided monoidal categories [J].Frontiers of Mathematics in China, 2011,6(5):1009-1020.
  • 3Wang Shuanhong. Morita Contexts, π-Galois extensions for Hopf π-comodules [J]. Communications inAlgebra, 2006,34(2):521-546.
  • 4Sweedler M E. Hopf Algebra [M]. New York: Benjiamin, 1969.
  • 5Wang Shuanhong. A Maschke type theorem for Hopf π-comodules [J]. Tsukuba Journal of Mathematics,2004,28(2):377-388.
  • 6Abe E. Hopf Algebra [M]. New York: Combridge University Press, 1980.
  • 7赵士银.Hopf π-余代数与单侧π-余理想[J].山东理工大学学报(自然科学版),2009,23(2):55-57. 被引量:4
  • 8衡美芹,孙建华.Hopf π-余代数的π-子余代数[J].纯粹数学与应用数学,2009,25(4):706-710. 被引量:10

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部