Hom-Hopf元(映射)与Hom-Hopf(Pentagon)方程的解 |
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作者单位: | ;1.河南师范大学数学与信息科学学院 |
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摘 要: | 引进了Hom-Hopf(Pentagon)方程以及Hom-Hopf元(映射)等概念,讨论了这两类方程的等价性.进而证明:一个Hom-双代数(H,α)的Hom-Hopf元(或Hom-Hopf映射),可以用来构造任意左H-Hom-模(或右HHom-余模)(M,αM)上Hom-Hopf方程的解.
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关 键 词: | Hom-双代数 Hom-Hopf方程 Hom-Pentagon方程 Hom-Hopf元 Hom-Hopf映射 |
Hom-Hopf Elements(Maps)and the Solutions of Hom-Hopf(Pentagon)Equations |
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Affiliation: | ,College of Mathematics and Information Science,Henan Normal University |
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Abstract: | In this paper,the definitions of Hom-Hopf equation,Hom-Pentagon equation,Hom-Hopf element and HomHopf map are introduced.The equivalence of Hom-Hopf equation and Hom Pentagon equation is discussed.Further,it is shown that the Hom-Hopf elements(Hom-Hopf maps)of a Hom-bialgebra(H,α)can be used to construct the solutions of Hom-Hopf equation over(M,αM)which is left H-Hom module(right H-Hom-comodule). |
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Keywords: | Hom-bialgebra Hom-Hopf equation Hom-Pentagon equation Hom-Hopf element Hom-Hopf map |
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