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COCLEFT EXTENSIONS OF HOPF ALGEBRAS
作者姓名:祝家贵
作者单位:ZHUJIAGUIDepart ment of mathematics,West Anhui University,Lu'an,Anhui237012China
基金项目:国家自然科学基金;安徽省自然科学基金
摘    要:~~COCLEFT EXTENSIONS OF HOPF ALGEBRAS1] Sweedler,M.E., Cohomology of algebras over Hopf algebras, Trans.Amer. Math, Soc. 133 (1968),205-239. 2] Doi,Y. Cohomologies over commutative Hopf algebras, J.Math.Soc.Japan 25(4) (1973), 680-706. 3] Schneid…

关 键 词:余圈  投影代数学  可交换环  霍普夫代数
文章编号:1009-9735(2006)02-0001-09

COCLEFT EXTENSIONS OF HOPF ALGEBRAS
ZHU JIAGUI.COCLEFT EXTENSIONS OF HOPF ALGEBRAS[J].Journal of Wanxi University,2006,22(2):1-9.
Authors:ZHU JIAGUI
Abstract:Let B and H be finitely generated projective Hopf algebras over a commutative ring R, with B cocommutative and H commutative. In this paper we investigate cocleft extensions of Hopf algebras, and prove that the isomorphism classes of cocleft Hopf algebras extensions of B by H are determined uniquely by the group C(B, H) = ZC(B, H)/d(B, H) .
Keywords:and Phrases  Cocleft  Extension  Cohomology(Cocycle)
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