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Hopf π-余理想 被引量:6

Hopf π-coideal
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摘要 设H为局部有限维的Hopf π-余代数,研究了H的π-余理想和Hopf π-余理想,分别得到了H的π-余理想和Hopf π-余理想的一些充分必要条件. Let H be a local finite dimensional Hopf π-coalgebra,this paper discusses the π-coideal and Hopf π-coideal of H,and obtains the some necessary and sufficient conditions for π-coideal and Hopf π-coideal of H.
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第3期32-35,共4页 Journal of Southwest China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10771183) 扬州大学自然科学基金资助项目(FK0313085)
关键词 HOPF Π-余代数 Π-余代数 π-余理想 Hopfπ-余理想 Hopfπ-子代数 Hopf π-coalgebra π-coalgebra π-coideal Hopf π-coideal Hopf π-subalgebra
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参考文献7

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二级参考文献11

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共引文献7

同被引文献40

  • 1吴美云.度为n的余半单Hopf代数的表示[J].西南师范大学学报(自然科学版),2006,31(6):1-3. 被引量:5
  • 2李金其.π-余代数上的余模[J].浙江师范大学学报(自然科学版),2005,28(1):1-4. 被引量:3
  • 3Fischman D.,Montgomery S.,A shur double centralizer theorem for cotriangular Hopf algebras and generalized Lie algebras[J].J.Algebra,1994,(168):594-614.
  • 4Sun Jian-hua,Some Results of The smash Product Associated with a G-graded Ring and a G-set[J].Journal of mathematical research and exposition,1996,16(3):90-96.
  • 5Zunino M.,Double construction for crossed Hopf coalgebras[J].J.Algebra,2004,(278):43-57.
  • 6Virelizier A.,Hopf group-coalgebras[J].Journal of Pure and Applied Algebra,2002,(171):75-122.
  • 7Virelizier A.Hopf Group-coalgebras[J].Journal of Pure and Applied Algebra,2002,171:75-122.
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  • 9Wang S H.Coquasitriangular Hopf Group Algebras and Drinfel'd Co-Doubles[J].Communications in Algebra,2007,35(1):77-101.
  • 10Wang S H.Morita Contexts,π -Galois Extensions for Hopf r -coalgebras[J].Communications in Algebra,2006,34(2):521-546.

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