一类仿射簇的维数计算的程序实现
Symbolic Implementation of Calculation Dimension of a Class of Affine Varieties
DOI: 10.12677/AAM.2022.1111810, PDF,   
作者: 富庆辉：天津职业技术师范大学理学院，天津
关键词: 单项式理想；仿射簇；代数集；维数；Monomialideal； Affinevarieties； Algebraic Set； Dimension
摘要: 计算单项式理想定义的簇的维数与计算任意簇的维数不同，可以简化为计算理想中最小公共变量集的元素个数。根据单项式理想的这一特性，本文给出一种算法并利用符号计算软件进行实现，从而可以自动计算单项式理想定义的簇的维数。
Abstract: Calculating the dimension of varieties defined by a monomial ideal is different from calculating the dimension of any varieties, and can be reduced to finding the number of elements of the least com-mon set of variables in the ideal. According to this characteristic of monomials, an algorithm is de-signed and a code is written by Maple to calculate the dimension of varieties defined by monomi-alideal.
文章引用：富庆辉. 一类仿射簇的维数计算的程序实现[J]. 应用数学进展, 2022, 11(11): 7653-7658. https://doi.org/10.12677/AAM.2022.1111810

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