| 对偶的Hom-型拟Hopf代数的Monoidal范畴解释（英文） |
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| 引用本文： | 程永胜,刘国敬.对偶的Hom-型拟Hopf代数的Monoidal范畴解释（英文）[J].数学季刊,2015(2):218-226. |
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| 作者姓名： | 程永胜 刘国敬 |
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| 作者单位： | School of Mathematics and Statistics, Institute of Contemporary Mathematics, Henan University;People’s Liberation Army of China,95129 Troops |
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| 摘 要： | In this paper, we categorify a Hom-associative algebra by imposing the Homassociative law up to some isomorphisms on the multiplication map and requiring that these isomorphisms satisfy the Pentagon axiom, and obtain a 2-Hom-associative algebra. On the other hand, we introduce the dual Hom-quasi-Hopf algebra and show that any dual Homquasi-Hopf algebras can be viewed as a 2-Hom-associative algebra.
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| 关 键 词： | algebra 代数的 Hom Hopf代数 Monoidal associative axiom satisfy multiplication automorphism |
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