2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105070We propose a class of infinite comatrix corings, and describe them as colimits of systems of usual comatrix corings. The infinite comatrix corings of El Kaoutit and Gómez Torrecillas are special cases of our construction, which in turn can be considered as a special case of the comatrix corings introduced recently by Gómez Torrecillas an the third author.23 pages, some corrections and additions to the previous version, and a renumbering of theorems in section 4Rings and Algebras16W30text