2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152672In this paper we discuss a generalization of the classica PBW-theorem to the case of Koszul algebras. Our result is a slight generalization of that obtained by A.Polischuk and L.Positselsky, but the proof is different and uses deformation theory.11 pages, TeXHigh Energy Physics - TheoryQuantum AlgebraThe Poincare-Birkhoff-Witt theorem for quadratic algebras of Koszul typetext