| 二次Hom-Novikov超代数 |
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| 引用本文： | 孙冰,周鑫.二次Hom-Novikov超代数[J].吉林大学学报(理学版),2020,58(3):545-549. |
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| 作者姓名： | 孙冰 周鑫 |
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| 作者单位： | 1. 长春师范大学 数学学院, 长春 130032; 2. 伊犁师范大学 数学与统计学院, 新疆 伊宁 835000;3. 东北师范大学 数学与统计学院, 长春 130024 |
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| 基金项目： | 长春师范大学自然科学研究项目;国家自然科学基金 |
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| 摘 要： | 将二次Novikov超代数通过一个扭曲映射推广到二次Hom-Novikov超代数. 当Hom-Novikov超代数中扭曲映射为自同构或对合时, 给出二次Hom-Novikov超代数与二次Novikov超代数之间的关系, 建立二次Hom-Novikov超代数与二次Hom-李超代数之间的联系, 并证明二次Hom-Novikov超代数是Hom 结合代数, 且Hom-Novikov超代数的邻接Hom-李超代数是2-步幂零的.
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| 关 键 词： | Novikov超代数 Hom-Novikov超代数 二次Hom-Novikov超代数 |
| 收稿时间： | 2019-08-07 |
Quadratic Hom-Novikov Superalgebras |
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| SUN Bing,ZHOU Xin.Quadratic Hom-Novikov Superalgebras[J].Journal of Jilin University: Sci Ed,2020,58(3):545-549. |
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| Authors: | SUN Bing ZHOU Xin |
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| Institution: | 1. School of Mathematics, Changchun Normal University, Changchun 130032, China;2. School of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang Uygur Autonomous Region, China;3. School of Mathematical and Statistics, Northeast Normal University, Changchun 130024, China
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| Abstract: | We extended the quadratic Novikov superalgebras to quadratic Hom Novikov superalgebras by a twisting map.
When the twisting map in Hom Novikov superalgebra was an automorphism or an involution, we gave the relationships between quadratic Hom-Novikov superalgebras and quadratic Novikov superalgebras, established the relations between quadratic Hom-Novikov superalgebras and quadratic Hom Lie superalgebras, proved that quadratic Hom-Novikov superalgebras were Hom associative algebras, and the adjacent Hom Lie superalgebras of quadratic Hom-Novikov superalgebras were 2 step nilpotent. |
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| Keywords: | Novikov superalgebra Hom Novikov superalgebra quadratic Hom Novikov superalgebra |
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