摘要
设R为k[x,y,z]的收缩且其对应收缩同态为φ.证明了如果R的超越次数为2,且满足下列条件之一,则存在p,q∈R,使得R=k[p,q]:1)R为inert子代数,不含坐标,并且φ为某多项式的梯度;2)R为2-赋值代数.
Let R be a retract of k [ x,y,z] with a retraction . It is proved that there exist p,q ∈ R such that R = [ip ,q] if the transcendental degree of R over k is 2 and either of the following conditions holds： 1 ） R is an inert subalgebra containing no coordinates and is the gradient of a polynomial; 2 ） R is a 2-valuation algebra.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2011年第6期1061-1063,共3页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11071097)
