2002/09/30 by Karen E. Smith
Mathematics · #math.AC #msc:13A35
published as Proc. AMS 129 (2001), no. 3, 667--669 · 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
arxiv created 2003/01/20 · arxiv updated 2009/11/30
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.