| Noether整环上不同项序下的复合Groebner基 |
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| 引用本文： | 陈小松,唐胜.Noether整环上不同项序下的复合Groebner基[J].湘潭大学自然科学学报,2008,30(4). |
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| 作者姓名： | 陈小松 唐胜 |
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| 作者单位： | 中南大学,数学科学与计算技术学院,湖南,长沙,410083 |
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| 基金项目： | 国家自然科学基金，湖南省科技计划 |
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| 摘 要： | 复合是指将多项式的每一个变元用新的多项式替换.对于Noether整环上的多项式环上某个项序下的Groeb-ner基,利用S-多项式及合冲条件,证明了当复合是另一项序下的一组首幂积为幂置换的首1多项式时,Groebner基的计算与复合可以交换.
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| 关 键 词： | Noether整环 复合Groebner基 项序 S-多项式 合冲条件 |
Composed Groebner Basis over Noetherian Domain under Different Term Orderings |
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| CHEN Xiao-song,TANG Sheng.Composed Groebner Basis over Noetherian Domain under Different Term Orderings[J].Natural Science Journal of Xiangtan University,2008,30(4). |
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| Authors: | CHEN Xiao-song TANG Sheng |
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| Abstract: | Composition is the operation of replacing variables in a polynomial with other polynomials.For Groebner basis over Noetherian domain in a polynomial ring under some term ordering,this paper proves Groebner basis computation is commutative with composition by using S-polynomials and syzygy condition if composition is a list of monic polynomials with its leading powering product is a permuted powering under another term ordering. |
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| Keywords: | noetherian domain composed Groebner basis term ordering S-polynomial syzygy condition |
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