| Novikov代数的可解幂零性质 |
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| 引用本文： | 倪军娜,于建华.Novikov代数的可解幂零性质[J].烟台师范学院学报(自然科学版),2008(3):193-195. |
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| 作者姓名： | 倪军娜 于建华 |
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| 作者单位： | 华南师范大学数学科学学院,广州510631 |
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| 摘 要： | 讨论了Novikov代数的幂零性和可解性，得到了可解理想之和可解，可解Novikov代数的子代数和同态象可解等结论，以及与之相联系的李代数的可解幂零性的关系．另外还得到了可解的Novikov代数有序列。A=A0←∩ A1←∩…←∩Am=0,使得Ai＋1的理想，且dimAi/Ai＋1=1等结论。
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| 关 键 词： | NOVIKOV代数 可解 幂零 |
The Solvability and Nilpotency of Novikov Algebras |
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| NI Jun-na,YU Jian-hua.The Solvability and Nilpotency of Novikov Algebras[J].Yantai Teachers University journal(Natural Science Edition),2008(3):193-195. |
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| Authors: | NI Jun-na YU Jian-hua |
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| Institution: | (School of Mathematics Science, South China Normal University, Guangzhou 510631, China) |
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| Abstract: | The solvability and nilpotency of Novikov algebras are discussed. Some results are gotten, for example, all subalgebras and homomorphiC images of a solvable Novikov algebra are solvable, and there is a subalgebras sequence that A=A0←∩ A1←∩…←∩Am=0, such that Ai ＋ 1 is and ideal of Ai, and dimAi/Ai ＋ 1 =1. Further more, the relation of solvability between Novikov algebras and their associated Lie algebras is studied. |
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| Keywords: | Novikov algebras solvability nilpotency |
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