A duality theorem of crossed coproduct for Hopf algebras 被引量：4

A duality theorem of crossed coproduct for Hopf algebras

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摘要 A duality theorem for Hopf crossed coproduct is proved. This theorem plays a role similar to that appearing in the work of Koppinen (which generalized the corresponding results of group grraded ring). A duality theorem for Hopf crossed coproduct is proved. This theorem plays a role similar to that appearing in the work of Koppinen (which generalized the corresponding results of group grraded ring).

作者王栓宏

机构地区 Institute of Mathenatics

出处《Science China Mathematics》 SCIE 1995年第1期1-7,共7页 中国科学：数学（英文版）

关键词 HOPF ALGEBRAS H-weak COMODULE COALGEBRA CROSSED coproduct. Hopf algebras, H-weak comodule coalgebra, crossed coproduct.

分类号 O153 [理学—数学]

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同被引文献14

1ZHANG Liangyun.L-R smash products for bimodule algebras[J].Progress in Natural Science:Materials International,2006,16(6):580-587. 被引量：20
2Y. Bahturin,D. Fischman,S. Montgomery.On the generalized Lie structure of associative algebras[J].Israel Journal of Mathematics.1996(1) 被引量：1
3Doi,Y.Hopf modules in Yetter-Drinfeld categories[].Communications in Algebra.1998 被引量：1
4Michaelis W.Lie coalgebras[].Advances in Mathematics.1980 被引量：1
5Sweedler ME.Hopf Algebras[]..1969 被引量：1
6Dascalescu,S. et al.Crossed coproducts and cleft coextensions[].Communications in Algebra.1996 被引量：1
7Schauenburg,P.A bialgebra that admits a Hopf-Galois extension is a Hopf algebra[].Proceedings of the American Mathematical Society.1997 被引量：1
8Fischman D,et al.A Schur’s double centralizer theorem for cotriangular Hopf algebras and generalized Lie algebras[].Journal of Algebra.1994 被引量：1
9Cohen,M. et al.Schur’s double centralizer theorem for triangu-larHopf algebras[].Proceedings of the American Mathematical Society.1994 被引量：1
10Dascalescu,S. et al.Finite Hopf-Galois coextensions, crossed Co-products, and duality[].Journal of Algebra.1995 被引量：1

引证文献4

1WANG Shuanhong and CHEN Huixiang( Department of Mathematics, Henan Normal University, Xinxiang 453002, China,Department of Mathematics, Yangzhou University, Yangzhou 225002, China).Hopf-Galois coextensions and braided Lie coalgebras[J].Progress in Natural Science:Materials International,2002,12(4):264-270. 被引量：1
2吴文海,章月娥,马天水.A Generalized Biproduct Theorem[J].Chinese Quarterly Journal of Mathematics,2011,26(4):613-620.
3马天水,景俊霞,景艳艳.一类交叉双积[J].河南师范大学学报（自然科学版）,2014,42(2):16-20. 被引量：4
4CHEN Quan-guo,WANG Ding-guo.Duality theorem for L-R crossed coproducts[J].Applied Mathematics(A Journal of Chinese Universities),2018,33(3):359-378.

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2郑慧慧,王永忠,马天水.Radford双积monoidal BiHom-Hopf代数[J].河南师范大学学报（自然科学版）,2016,44(6):36-42. 被引量：1
3董丽红,薛栓.一类余拟三角Hom-Hopf代数[J].河南师范大学学报（自然科学版）,2016,44(6):43-48. 被引量：2
4马天水,杨海燕.一类广义双积及其相关的Yetter-Drinfeld范畴[J].河南师范大学学报（自然科学版）,2021,49(4):18-23.
5Shengxiang Wang.From Braided Infinitesimal Bialgebras to Braided Lie Bialgebras[J].Advances in Pure Mathematics,2017,7(7):366-374.

1王栓宏.A Duality Theorem for Hopf Comodule Coalgebras[J].Chinese Science Bulletin,1994,39(15):1239-1244. 被引量：1
2Nai Feng ZHENG.(f,ω)-Compatible Pair (B,H) for ω-Smash Coproduct Hopf Algebras[J].Journal of Mathematical Research and Exposition,2010,30(2):249-256. 被引量：2
3邹小贵,许永华.Decomposition of Comodules[J].Science China Mathematics,1994,37(8):946-953.
4ZHENG Nai-feng.The quasi-triangular structures over Hom-ω-smash coproduct Hopf algebras[J].Applied Mathematics(A Journal of Chinese Universities),2016,31(2):219-236.
5张寿传.Relation between decomposition of comodules and coalgebras[J].Science China Mathematics,1997,40(1):24-29.
6刘贵龙.Morita theorems for Hopf comodule coalgebras[J].Chinese Science Bulletin,1996,41(12):969-972.
7Shuan-hong WANG Hai-xing ZHU.On Corepresentations of Multiplier Hopf Algebras[J].Acta Mathematica Sinica,English Series,2010,26(6):1087-1114.
8李立斌,李尚志.QUANTUM COMODULE APPROACH THE SOLUTION OF THE QUANTUM YANG-BAXTER EQUATION[J].Acta Mathematica Scientia,2000,20(2):206-212.
9SHEN Bing Liang WANG Shuan Hong.Hopf Algebras in Group Yetter-Drinfel＇d Categories[J].Journal of Mathematical Research and Exposition,2009,29(2):266-274.
10Quanguo CHEN,Dingguo WANG,Xiaodan KANG.Twisted partial coactions of Hopf algebras[J].Frontiers of Mathematics in China,2017,12(1):63-86.

Science China Mathematics

1995年第1期

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A duality theorem of crossed coproduct for Hopf algebras 被引量：4

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