2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126391We generalize [3, Lemma 2.2] and [4, Proposition 2.3] and deduce a positive result on Hilbert's fourteenth problem. Further, we give a relatively transparent and elementary proof of [3, Theorem 1.1].16 pagesCommutative Algebra13F20;13B25On Kuroda's proof of Hilbert's fourteenth problem in dimensions three and fourtext