| 左弱Novikov代数 |
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| 引用本文： | 詹建明,谭志松.左弱Novikov代数[J].数学杂志,2005,25(2):135-138. |
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| 作者姓名： | 詹建明 谭志松 |
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| 作者单位： | 湖北民族学院数学系,湖北,恩施,445000 |
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| 基金项目： | Supported by the Science Foundation of Education Committee of Hubei Province (2002X10). |
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| 摘 要： | 研究Novikov代数的性质，引进左弱Novikov代数的概念，利用特征不为2的素代数的特性，得出特征不为2的左弱Novikov素代数是结合和交换的，并推广了文5—8]中Novikov代数的结果．
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| 关 键 词： | 左弱Novikov代数 素代数 交换子 结合子 轮换子 |
LEFT WEAKLY NOVIKOV ALGEBRA |
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| ZHAN Jian-ming,TAN Zhi-song.LEFT WEAKLY NOVIKOV ALGEBRA[J].Journal of Mathematics,2005,25(2):135-138. |
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| Authors: | ZHAN Jian-ming TAN Zhi-song |
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| Abstract: | In order to investigate further the properties of Novikov algebra, this paper introduces the concept of left weakly Novikov algebra. By using the properties of prime algebra of characterization not 2, we obtain the main result that a left weakly prime algebra of characterization not 2 is commutative and associative. This result generalizes the properties of Novikov algebras. |
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| Keywords: | left weakly Novikov algebra prime algebra commutator associator alternator |
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