Tight closure commutes with localization in binomial rings

Mathematics – Commutative Algebra

Scientific paper

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amstex (3 pages) This version differs from the previous (and published) version of the paper, in which the word "finite" was o

Scientific paper

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.

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