| Hom-quadri-代数和Hom-octo-代数 |
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| 引用本文： | 安慧辉,薛晨,康健.Hom-quadri-代数和Hom-octo-代数[J].大连大学学报,2014(6):16-23. |
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| 作者姓名： | 安慧辉 薛晨 康健 |
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| 作者单位： | 辽宁师范大学 数学学院,辽宁 大连,116023 |
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| 摘 要： | 主要研究Hom-quadri-代数和Hom-octo-代数,它们分别是由quadri-代数和octo-代数通过代数形变得出的。首先给出了Hom-associative-代数、Hom-pre-Lie-代数,Hom-dendriform代数和Loday代数的一些基本定义和性质,然后将quadri-代数、octo-代数的定义推广到了Hom-quadri-代数、Hom-octo-代数,最后研究并论证了Hom-quadri-代数和Hom-octo-代数与Hom-associative-代数、Hom-pre-Lie-代数、Hom-dendriform代数之间的关系。
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| 关 键 词： | Hom-octo-代数 Hom-quadri-代数 Hom-dendriform代数 Hom-pre-Lie-代数 |
Hom-Quadri-Algebras and Hom-Octo-Algebras |
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| AN Hui-hui,XUE Chen,KANG Jian.Hom-Quadri-Algebras and Hom-Octo-Algebras[J].Journal of Dalian University,2014(6):16-23. |
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| Authors: | AN Hui-hui XUE Chen KANG Jian |
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| Institution: | AN Hui-hui;XUE Chen;KANG Jian;School of Mathematics, Liaoning Normal University; |
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| Abstract: | Hom-quadri-algebras and Hom-octo-algebras which are respectively motivated from the quadric-algebras and octo-algebras were mainly dicussed. First, some basic definitions of Hom-associative-algebras, Hom-pre-Lie-algebras, Hom-dendriform algebras and Loday algebras were introduced. Then the definition and the structure of Hom-quadri-algebras and Hom-octo-algebras from quadric-algebras and octo-algebra were given. Finally, the relationships among Hom-octo-algebras, Hom-quadri-algebras, Hom-associative-algebras, Hom-pre-Lie-algebras, Hom-dendriform algebras were discussed. |
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| Keywords: | Hom-octo-algebras Hom-quadri-algebras Hom-dendriform algebras Hom-pre-Lie-algebras |
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