2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100824Sufficient conditions for existence of a faithful representation of a *-algebra in terms of its Göbner basis is presented. Proposed construction of faithful representation is applicable to concrete examples: *-doubles, monomial *-algebras, extension of a *-algebras allowing Wick ordering and others. Several examples and counterexamples are presented.Operator Algebras47L30;16W10text