| 单项导子的Darboux多项式和常数环 |
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| 引用本文： | 李建涛.单项导子的Darboux多项式和常数环[J].吉林大学学报(理学版),2017,55(2):294-296. |
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| 作者姓名： | 李建涛 |
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| 作者单位： | 辽宁大学 数学院, 沈阳 110031 |
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| 摘 要： | 证明Moulin Ollagnier和Nowicki构造的四元多项式代数上的一个单项导子没有Darboux多项式当且仅当其常数环是平凡的.
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| 关 键 词： | Darboux多项式 导子 常数环 单项导子 |
| 收稿时间： | 2017-01-03 |
Darboux Polynomials and Ring of Constantsof a Monomial Derivation |
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| LI Jiantao.Darboux Polynomials and Ring of Constantsof a Monomial Derivation[J].Journal of Jilin University: Sci Ed,2017,55(2):294-296. |
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| Authors: | LI Jiantao |
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| Institution: | School of Mathematics, Liaoning University, Shenyang 110031, China |
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| Abstract: | The author proved that a monomial derivation, which was constructed by Moulin Ollagnier and Nowicki in the polynomial algebra of four variables, has no Darboux polynomials if and only if its ring of constants was trivial. |
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| Keywords: | monomial derivation Darboux polynomial ring of constants derivation |
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