| 零维理想关于变元正常与一般位置 |
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| 引用本文： | 刘金旺,李冬梅,傅晓玲.零维理想关于变元正常与一般位置[J].应用数学学报,2010,33(1). |
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| 作者姓名： | 刘金旺 李冬梅 傅晓玲 |
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| 作者单位： | 1. 湖南科技大学数学与计算科学学院,湘潭,411201
2. 湖南科技大学物理学院,湘潭,411201 |
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| 基金项目： | 国家自然科学基金，湖南省学位与研究生教改(JG 2009A017)资助项目;湖南省自然科学基金 |
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| 摘 要： | 设kx_1,…,x_n]是域k上关于变量x_1,…,x_n的多项式环,I是kx_1,x_2,…,x_n]中的零维理想.本文对I关于某个变元x_i正常与一般位置之同的关系进行探讨,并证明了零维理想对于变元x_i正常与一般位置在某种情况下的等价性.
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| 关 键 词： | 零维理想 Grǒbner基 关于变元x_i正常 -般位置 |
Regular and in Normal Position with Respect to a Variable in a Zero-dimensional Ideal for Recurrent Event Data |
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| LIU JINWANG,LI DONGMEI,FU XIAOLING.Regular and in Normal Position with Respect to a Variable in a Zero-dimensional Ideal for Recurrent Event Data[J].Acta Mathematicae Applicatae Sinica,2010,33(1). |
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| Authors: | LIU JINWANG LI DONGMEI FU XIAOLING |
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| Abstract: | Let kx_1, x_2, …, x_n] be a polynomial ring in the variables x_1, x_2, …, x_n with coefficient in k, I be a zero-dimensional ideal in kx_1,x_2, … ,x_n]. In this paper, we investigate relation of regular and in normal position with respect to a variable, and we show equivalent of regular and in normal position with respect to variable x_i in a zero-dimension ideal under some condictions. |
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| Keywords: | zero-dimensional iseal Grobner Bases regular with respect to x_i normal position |
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