2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74452We prove that certain class of Stanley--Reisner rings having sufficiently large multiplicities are Cohen--Macaulay using Alexander duality.about 12 pages, LaTeXCommutative Algebra13F55; 13H10Stanley--Reisner rings with large multiplicities are Cohen--Macaulaytext