On seminormality
On seminormality
复制标题
关于半正态性
DOI：
10.1016/j.jalgebra.2006.01.050
复制
发表时间：
2006
影响因子：
1.4
通讯作者：
T. Coquand
中科院分区：
文献类型：
--
作者：
T. Coquand
本文给出了一个初等且本质自含的证明：约化环R是正规环当且仅当标准映射PicR→PicR[X]是同构，这是Swan [R]的一个定理. Swan，On Nonnormality，J. Algebra 67（1980）210-229]，推广了Traverso [C. Traverso，Seminormality and the Picard group，Ann. Scuola Norm.辅助核算比萨24（1970）585-595]。
We give an elementary and essentially self-contained proof that a reduced ring R is seminormal if and only if the canonical map PicR→PicR[X] is an isomorphism, a theorem due to Swan [R. Swan, On seminormality, J. Algebra 67 (1980) 210–229], generalizing some previous results of Traverso [C. Traverso, Seminormality and the Picard group, Ann. Scuola Norm. Sup. Pisa 24 (1970) 585–595].