| HOPF代数的右伴随作用构造的上循环模(英文) |
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| 引用本文： | 居腾霞.HOPF代数的右伴随作用构造的上循环模(英文)[J].数学杂志,2010,30(2). |
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| 作者姓名： | 居腾霞 |
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| 作者单位： | 南通大学理学院,江苏,南通,226007 |
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| 摘 要： | 本文研究了上循环模,对于特征为O的域k上满足S~2=id_H的Hopf代数H,和左H-模代数A,利用日的右伴随作用以及H在A上的模作用,构造了上循环模(C)_H~#(A),并且证明了由H的右伴随作用和左伴随作用分别诱导的上循环模(C)_H~(#)(A)和(C)_H~(#)(A)足同构的.
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| 关 键 词： | 模代数 上循环模 Hopf代数 |
COCYCLIC MODULE CONSTRUCTED BY THE RIGHT ADJOINT ACTION OF HOPF ALGEBRAS |
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| JU Teng-xia.COCYCLIC MODULE CONSTRUCTED BY THE RIGHT ADJOINT ACTION OF HOPF ALGEBRAS[J].Journal of Mathematics,2010,30(2). |
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| Authors: | JU Teng-xia |
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| Institution: | JU Teng-xia(Faculty of Science,Nantong University,Nantong 226007,China) |
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| Abstract: | In this article,we study the eocyelic module. For a Hopf algebra H over a field k with char(k)=0 such that S~2 - id_H, and an H-module algebra A, we construct a coeyelie module G_H~(#)(A) via the right adjoint action of the Hopf algebra H on itself and action of H on algebra A.We show that the coeyclic modules C_H~(#) (A) and C_H~(#) (A) respectively induced by the the right adjoint action and the left adjoint action of H are isomorphic. |
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| Keywords: | module algebra eoeyclic module Hopf algebra |
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