Localization of tight closure in two-dimensional rings
Commutative Algebra
2007-05-23 v1
Abstract
It is shown that tight closure commutes with localization in any two dimensional ring of prime characteristic if either is a Nagata ring or possesses a weak test element. Moreover, it is proved that tight closure commutes with localization at height one prime ideals in any ring of prime characteristic.
Keywords
Cite
@article{arxiv.math/0502076,
title = {Localization of tight closure in two-dimensional rings},
author = {Kamran Divaani-Aazar and Massoud Tousi},
journal= {arXiv preprint arXiv:math/0502076},
year = {2007}
}
Comments
7 pages, to appear in Proc. Indian Acad. Sci. (Math. Sci.)