Article ID Journal Published Year Pages File Type
4597463 Journal of Pure and Applied Algebra 2009 7 Pages PDF
Abstract

In this article, we solve Grothendieck’s localization problem for a certain class of rings that arises from tight closure theory. It is quite essential to use the relative version of the Frobenius map (Radu–Andrè morphism) to investigate the fibers of a flat ring homomorphism of characteristic p>0p>0. We also give some interesting geometric applications of the localization problem.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On the localization theorem for FF-pure rings
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