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

作　　者：富庆辉 

机构地区：[1]天津职业技术师范大学理学院,天津

出　　处：《应用数学进展》2022年第11期7653-7658,共6页Advances in Applied Mathematics

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。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.

关 键 词：单项式理想 仿射簇 代数集 维数 

分 类 号：O29[理学—应用数学]