ON THE WEAKLY ARF (S2)-IFICATIONS OF NOETHERIAN RINGS
ON THE WEAKLY ARF (S2)-IFICATIONS OF NOETHERIAN RINGS
复制标题
弱ARF(S2)-诺特环的表征
DOI：
10.1216/jca.2023.15.303
复制
发表时间：
2022
影响因子：
0.6
通讯作者：
Naoyuki Matsuoka
中科院分区：
文献类型：
--
作者：
Naoki Endo;S. Goto;Shin;Naoyuki Matsuoka
交换Notherian环R$的弱Arf$(S_2)$化被认为是一个比正规化更好的二元扩张。$R$的弱Arf性质(简称WAP)是由J.Lipman在1971年与他的著名论文[12]一起引入的，最近又被[4]重新发现，并随着进一步的发展而被密切地研究。对满足一定温和条件的Notherian环$R$，构造了满足WAP和Serre的条件$(S_2)$的最小模有限双环扩张.我们称这一推广为弱Arf$(S_2)推广，并发展了基本理论，包括一些存在定理。
The weakly Arf $(S_2)$-ification of a commutative Noetherian ring $R$ is considered to be a birational extension which is good next to the normalization. The weakly Arf property (WAP for short) of $R$ was introduced in 1971 by J. Lipman with his famous paper [12], and recently rediscovered by [4], being closely explored with further developments. The present paper aims at constructing, for a given Noetherian ring $R$ which satisfies certain mild conditions, the smallest module-finite birational extension of $R$ which satisfies WAP and the condition $(S_2)$ of Serre. We shall call this extension the weakly Arf $(S_2)$-ification, and develop the basic theory, including some existence theorems.
影响因子：
1.2
作者：
Naoki Endo;S. Goto;Ryotaro Isobe
通讯作者：
Naoki Endo;S. Goto;Ryotaro Isobe
影响因子：
1
作者：
E. Naoki;S. Goto
通讯作者：
S. Goto
论 Arf 戒指的普遍性
影响因子：
0.6
作者：
E. Celikbas;O. Celikbas;C. Ciupercă;N. Endo;S. Goto;R. Isobe;N. Matsuoka
通讯作者：
N. Matsuoka