2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124739We continue the study of the center problem for the ordinary differential equation $v'=\sum_{i=1}^{\infty}a_{i}(x)v^{i+1}$ started in our earlier papers. In this paper we present the highlights of the algebraic theory of centers.35 pagesDynamical SystemsClassical Analysis and ODEs32E20; 34C07text