On SAGBI bases and resultants

被引：0
|
作者：
Torstensson, A [1 ]
Ufnarovski, V [1 ]
Öfverbeck, H [1 ]
机构：
[1] Lund Univ, Ctr Math Sci, SE-22100 Lund, Sweden
来源：
COMMUTATIVE ALGEBRA, SINGULARITIES AND COMPUTER ALGEBRA | 2003年 / 115卷
关键词：
SAGBI basis; resultant; reduction; subalgebra;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A resultant-type identity for univariate polynomials is proved and applied to characterization of SAGBI bases of subalgebras, generated by two polynomials. Besides a new condition for polynomials f(x) and g(x) to form a SAGBI basis, expressed in terms of field extensions is derived.
引用
收藏
页码：241 / 254
页数：14
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