2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77378Any variety of classical algebras has a so-called conformal counterpart. For example one can consider Lie conformal or associative conformal algebras. Lie conformal algebras are closely related to vertex algebras. We define free objects in the categories of conformal and vertex algebras. In some cases we can explicitly build their Groebner bases.AMS-LaTeX, 19 pages. To process, run "latex freecv.tex"Quantum Algebra16S10, 17B69, 17B01text