On the localization theorem for F-pure rings
arXiv:0710.3782 · doi:10.1016/j.jpaa.2008.11.047
Abstract
We solve Grothendieck's localization problem for certain class of rings arising from the tight closure theory. The idea of the proof depends heavily on the study of the relative version of the Frobenius map.
10 pages, published in Journal of pure and Applied Algebra