Filtrations and Noetherian symbolic blow-up rings
Filtrations and Noetherian symbolic blow-up rings
复制标题
过滤和诺特符号爆炸环
DOI：
10.1090/s0002-9939-1988-0934849-8
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
P. Schenzel
中科院分区：
文献类型：
--
作者：
P. Schenzel
对于局部Noether环中的一维素理想，刻画了符号blow-up环是有限型代数的情形。更一般地，对于局部诺特环的理想的滤子，有一个充分必要条件使得相应的Rees环是诺特环。应用涉及渐近素因子和分析传播。
For a one-dimensional prime ideal in a local Noetherian ring it is characterized when the symbolic blow-up ring is an algebra of finite type. More generally, for a filtration of ideals of a local Noetherian ring there is a necessary and sufficient condition for the corresponding Rees ring to be a Noetherian ring. Applications concern asymptotic prime divisors and the analytic spread.