当前位置: X-MOL 学术J. Pure Appl. Algebra › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Residual coordinates over one-dimensional rings
Journal of Pure and Applied Algebra ( IF 0.7 ) Pub Date : 2021-06-01 , DOI: 10.1016/j.jpaa.2020.106629
M'hammed El Kahoui , Najoua Essamaoui , Mustapha Ouali

Abstract Given a noetherian ring R and n ≥ 2 , it is well-known that residual coordinates of the polynomial algebra R [ n ] are m-stable coordinates for some m ≥ 1 , that is they become coordinates in the larger polynomial algebra R [ n + m ] . In this paper we prove that, over a large class of noetherian one-dimensional rings, m = 1 is enough. This includes affine algebras over an algebraically closed field as well as noetherian complete local rings containing a field.

中文翻译:

一维环上的残差坐标

摘要 给定一个诺特环 R 和 n ≥ 2 ,众所周知多项式代数 R [ n ] 的残差坐标对于某些 m ≥ 1 是 m 稳定坐标,即它们成为更大多项式代数 R [ n+m]。在本文中,我们证明,在一大类诺特一维环上,m = 1 就足够了。这包括代数闭域上的仿射代数以及包含域的诺特完全局部环。
更新日期:2021-06-01
down
wechat
bug