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零维多项式理想的准素分解

Primary Decomposition of Zero-dimensional Polynomial Ideals
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摘要 利用Ritt——Wu零点分解算法及多项式理想的Grobner基方法,给出一种零维多项式理想准素分解的算法,即找出该理想所有准素分支的一组基,此外,任意多项式理想的根理想的一组基也可容易地构造出来. By using Ritt - Wu' s Zero- decomposition algorithm and Grobner bases of Polynomial ideals, We give an algorithm for finding out the primary decomposition of a zero - dimensional polynomial ideal, namely, constructing a basis of each primary component of this ideal. In addition, a basis of the radical of an arbitrary polynomial ideal can be constructed easily.
关键词 多项式 准素分解 理想 GROBNER基 分支 零点 算法 方法 构造 Zero-dimensional polynomial Ideal Ritt -Wu' s Zero-decomposition algorithm Primary ideal
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参考文献1

  • 1Shang-Ching Chou,William F. Schelter,Jin-Gen Yang. An algorithm for constructing gr?bner bases from characteristic sets and its application to geometry[J] 1990,Algorithmica(1):147~154

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