2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77611We prove Auslander-Gorenstein and $\GKdim$-Macaulay properties for certain invariant subrings of some quantum algebras, the Weyl algebras, and the universal enveloping algebras of finite dimensional Lie algebras.AMSTEX, 18 pages. Revised and corrected versionRings and AlgebrasQuantum Algebra16E10, 16S80, 16W50text