| 结合H-代数的Grobner—Shirshov基 |
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| 引用本文： | 邱建军.结合H-代数的Grobner—Shirshov基[J].湛江师范学院学报,2008,29(3):24-27. |
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| 作者姓名： | 邱建军 |
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| 作者单位： | 湛江师范学院,数学与计算科学学院,广东,湛江,524048 |
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| 摘 要： | 首先构造了自由结合H-代数，并在此基础上利用Shirshov的方法给出了合H-代数的Grobner—Shir—shov基理论。特别是证明了结合H-代数的钻石合成引理．
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| 关 键 词： | 结合H-代数 自由 Grobner—Shirshov基 |
Grobner-Shirshov Bases for Associative H-Algebras |
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| QIU Jia-niun.Grobner-Shirshov Bases for Associative H-Algebras[J].Journal of Zhanjiang Normal College,2008,29(3):24-27. |
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| Authors: | QIU Jia-niun |
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| Institution: | QIU Jian-jun (Mathematics and Computational Science School, Zhanjiang Normal University Zhanjiang,Guangdong 524048,China) |
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| Abstract: | The notion of the associative H-algebra is introduced and the free associative H-algebra on a set is constructed. And then the Grobner-Shirshov bases for associative H-algebras is developed. Especial- ly, the Composition-Diamond Lemma for associative H-algebras is obtained. |
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| Keywords: | associative H-algebras free Grobner-Shirshov bases |
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