子结式的两个新性质的证明  

The Proof of Two New Properties of Subresultants

作　　者：刘美 孙维昆[1] 

机构地区：[1]天津职业技术师范大学理学院,天津

出　　处：《理论数学》2023年第7期1959-1965,共7页Pure Mathematics

摘　　要：利用已有的结式性质得到了单变元多项式子结式的两个新性质,证明了一种乘积的子结式与两个子结式的乘积的等量关系式,并且给出了两个子结式互素的充要条件。Using the existing properties of resultants, the authors get two new properties of subresultants of univariate polynomials, which show that an equal relationship between the subresultants of product and the product of two subresultants and give a necessary and sufficient condition for the two subresultants to be relatively prime.

关 键 词：子结式 互素 单变元多项式 

分 类 号：O17[理学—数学]