A new algebraic approach to microlocalization of filtered rings
A new algebraic approach to microlocalization of filtered rings
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DOI：
10.1090/s0002-9947-1989-0958890-x
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发表时间：
1989-02
影响因子：
1.3
通讯作者：
M. Asensio;M. Bergh;F. Oystaeyen
中科院分区：
文献类型：
--
作者：
M. Asensio;M. Bergh;F. Oystaeyen
使用的Rees环相关的过滤环的建设，我们提供了一个描述的过滤环的微局部化仅使用纯代数技术。该方法为研究微定域函子的精确性质提供了一种简便的途径。伴随分次环中正则乘法Ore集上的每个微局部化都可以作为滤子环Ore集上局部化的完成而得到。
Using the construction of the Rees ring associated to a filtered ring we provide a description of the microlocalization of the filtered ring by using only purely algebraic techniques. The method yields an easy approach towards the study of exactness properties of the microlocalization functor. Every microlocalization at a regular multiplicative Ore set in the associated graded ring can be obtained as the completion of a localization at an Ore set of the filtered ring.