2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158897Extending the notion of indispensable binomials of a toric ideal, we define indispensable monomials of a toric ideal and establish some of their properties. They are useful for searching indispensable binomials of a toric ideal and for proving the existence or non-existence of a unique minimal system of binomials generators of a toric ideal. Some examples of indispensable monomials from statistical models for contingency tables are given.20 pages, 5 figuresStatistics Theory62H17; 13P10text