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Tight closure commutes with localization in binomial rings
Authors:Karen E Smith
Institution:Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
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.

Keywords:Tight closure  localization  binomial ideals  toric rings  semigroup rings
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