| THE λ-GROBNER BASES UNDER POLYNOMIAL COMPOSITION |
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| 作者姓名： | Jinwang LIU Dongmei LI Xiaosong CHEN |
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| 作者单位： | [1]School of Mathematics and Computing Science, Hunan Science and Technology University, Xiangtan 411201 China [2]School of Mathematical Sciences and China. Technology, Central South University, Changsha 410083 |
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| 基金项目： | The research is supported by the National Natural Science Foundation of China under Grant No. 10771058, Hunan Provincial Natural Science Foundation of China under Grant No. o6jj20053, and Scientific Research Fund of Hunan Provincial Education Department under Grant No. 06A017. |
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| 摘 要： | Polynomial composition is the operation of replacing variables in a polynomial with other polynomials. λ-Grgbner basis is an especial Grobner basis. The main problem in the paper is： when does composition commute with λ-Grobner basis computation？ We shall answer better the above question. This has a natural application in the computation of λ-Grobner bases.
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| 关 键 词： | 多项式 排序 λ 数学分析 |
| 收稿时间： | 2005-09-29 |
| 修稿时间： | 2007-02-14 |
The λ-Gröbner Bases Under Polynomial Composition |
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| Jinwang LIU Dongmei LI Xiaosong CHEN.The λ-Gr?bner Bases Under Polynomial Composition[J].Journal of Systems Science and Complexity,2007,20(4):610-613. |
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| Authors: | Jinwang Liu Dongmei Li Xiaosong Chen |
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| Affiliation: | (1) School of Mathematics and Computing Science, Hunan Science and Technology University, Xiangtan, 411201, China;(2) School of Mathematical Sciences and Computing Technology, Central South University, Changsha, 410083, China |
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| Abstract: | Polynomial composition is the operation of replacing variables in a polynomial with other polynomials. λ-Gröbner basis is an especial Gröbner basis. The main problem in the paper is: when does composition commute with λ-Gröbner basis computation? We shall answer better the above question. This has a natural application in the computation of λ-Gröbner bases. |
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| Keywords: | λ -Gr?bner basis polynomial composition term ordering |
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