2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103892We close a gap appearing at the same time in the author's thesis "Iterated rings of bounded elements and generalizations of Schmüdgen's theorem" [1] and in the author's article "Iterated rings of bounded elements and generalizations of Schmüdgen's Positivstellensatz" [2]. [1] Universität Konstanz (2001), available at http://www.ub.uni-konstanz.de/kops/volltexte/2002/825/ [2] Journal für die reine und angewandte Mathematik 554, 19-45 (2003)erratum, 4 pagesCommutative AlgebraAlgebraic Geometry13J30; 14P10; 11E25; 44A60text