| Noether整环上的齐次复合Groebner基 |
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| 引用本文： | 陈小松,唐胜. Noether整环上的齐次复合Groebner基[J]. 吉首大学学报(自然科学版), 2009, 30(2): 1-4 |
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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;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，湖南省科技计划项目 |
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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,如果复合与项序相容并且是一组首幂积为排列幂的首1齐次多项式,那么Noether整环上齐次Groebner基计算与齐次复合可交换.
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| 关 键 词： | Noether整环 齐次复合Groebner基 合冲条件 S-多项式 |
Homogeneous Composed Groebner Basis over Noetherian Domain |
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| CHEN Xiao-song,TANG Sheng. Homogeneous Composed Groebner Basis over Noetherian Domain[J]. Journal of Jishou University(Natural Science Edition), 2009, 30(2): 1-4 |
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| Authors: | CHEN Xiao-song TANG Sheng |
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| Affiliation: | (College of Mathematical Sciences and Computational Technology,Central South University,Changsha 410083,China) |
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| Abstract: | Composition is the operation of replacing variables in a polynomial with other polynomials.For Noetherian domain,homogeneous composition and Groebner basis computation is commutative if composition is compatible with the term ordering and it is a list of monic homogeneous polynomial with its monic powering product being a permuted powering. |
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| Keywords: | Noetherian domain homogeneous composed Groebner basis syzygy condition S-polynomials |
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