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math.AC2008
Growth of rank 1 valuation semigroups
Steven Dale Cutkosky, Kia Dalili, Olga Kashcheyeva
We consider the question of which semigroups can occur as the semigroup of positive values of a rank 1 valuation dominating a Noetherian local ring . We give a number o…
math.AC2008★ 5 cited
Semigroups of valuations dominating local domains
Steven Dale Cutkosky
A new criterion is given for a semigroup to be the semigroup of a valuation dominating an equicharacteristic local domain. The criterion is used to construct examples of well order…