Tight closure commutes with localization in binomial rings
Commutative Algebra
2007-05-23 v2
Abstract
It is proved that tight closure commutes with localization in any domain which has a module finite extension in which tight closure is known to commute with localization. It follows that tight closure commutes with localization in binomial rings, in particular in semigroup or toric rings.
Cite
@article{arxiv.math/0209174,
title = {Tight closure commutes with localization in binomial rings},
author = {Karen E. Smith},
journal= {arXiv preprint arXiv:math/0209174},
year = {2007}
}
Comments
amstex (3 pages) This version differs from the previous (and published) version of the paper, in which the word "finite" was omitted from the statement of the main result. I am grateful to Florian Enescu for pointing out this error