If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Journal Article

A New Algebraic Approach to Microlocalization of Filtered Rings

Maria J. Asensio, Michel Van Den Bergh and Freddy Van Oystaeyen
Transactions of the American Mathematical Society
Vol. 316, No. 2 (Dec., 1989), pp. 537-553
DOI: 10.2307/2001360
https://www.jstor.org/stable/2001360
Page Count: 17
Were these topics helpful?

Select the topics that are inaccurate.

  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Save
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A New Algebraic Approach to Microlocalization of Filtered Rings
Preview not available

Abstract

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.