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math.AC2002
Linear bounds on growth of associated primes
Karen E. Smith, Irena Swanson
We find explicit bounds on the primary components and on the Castelnuovo-Mumford regularity of powers of monomial ideals. We also analyze the primary decompositions of Katzman's ex…
math.AC2002
Tight closure commutes with localization in binomial rings
Karen E. Smith
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 follow…