2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135394In 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.19 pagesAlgebraic GeometryCommutative Algebra14B05, 13A18, 16W60text