2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61625We give a formula that expresses the Hilbert series of one-sided ladder determinantal rings, up to a trivial factor, in form of a determinant. This allows the convenient computation of these Hilbert series. The formula follows from a determinantal formula for a generating function for families of nonintersecting lattice paths that stay inside a one-sided ladder-shaped region, in which the paths are counted with respect to turns.28 pages, AmS-LaTeX; an error in the definition of ladder determinantal ring was correctedCommutative AlgebraAlgebraic GeometryCombinatorics05A15 13C40 (Primary) 05A19 13F50 13H10 (Secondary)text