浙江大学学报(理学版)2024,Vol.51Issue(3):261-264,313,5.DOI:10.3785/j.issn.1008-9497.2024.03.001
常数项为零的多项式在严格上三角矩阵代数上的像
The images of polynomials with zero constant term on strictly upper triangular matrix algebras
摘要
Abstract
In the present paper,we define the minimum degree of polynomials.By using the minimum degree of polynomials and Zariski topology,we give a complete description of the images of polynomials with zero constant term on strictly upper triangular matrix algebras over an algebraically closed field.关键词
多项式/多重线性多项式/严格上三角矩阵代数/Zariski 拓扑Key words
polynomial/multilinear polynomial/strictly upper triangular matrix algebra/Zariski topology分类
数理科学引用本文复制引用
罗英语,赵浩良..常数项为零的多项式在严格上三角矩阵代数上的像[J].浙江大学学报(理学版),2024,51(3):261-264,313,5.基金项目
吉林省教育厅科学技术研究项目(JJKH20241000KJ) (JJKH20241000KJ)
吉林省教育学会"十四五"科研规划课题(G215000). (G215000)