2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149763In this paper we show how to combine different techniques from Commutative Algebra and a systematic use of a Computer Algebra System (in our case mainly CoCoA) in order to explicitly construct Cohen-Macaulay domains, which are standard $k$-algebras and whose Hilbert function is ``bad". In particular we disprove a well-known conjecture by Hibi.10 pages, plain TeXAlgebraic Geometrytext