2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63450In this paper we give a necessary and sufficient criterion for representability of a matroid over an algebraic closed field. This leads to an algorithm, based on an extension of Groebner Bases, in order to decide if a given matroid is representable over such a field.9 pages, LaTeXCombinatoricsCommutative Algebra05B35; 13P10text