2007/07/31 by Steven Dale Cutkosky, Cutkosky, Steven Dale, Bernard Teissier +1 · 1 citation
Mathematics · #13A18 #14B05 #16W60 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Mathematical and Theoretical Analysis #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.0708.0019
openalex publication_date 2007/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper the question of which semigroups are realizable as the semigroup of values attained on a Noetherian local ring which is dominated by a valuation is considered. We give some striking examples, indicating that there may be no constraints on the semigroup beyond those known classically.