2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64736A semiring can be ``completed'' (i.e., embedded into a semiring in which all infinite sums are defined and satisfy some reasonable properties) iff this semiring can be naturally partially ordered. This construction is ``natural'' (a left adjoint to the forgetful functor), and quite straightforward.This is an English summary of my 1985 (unpublished) diploma thesisRings and Algebras16Y60; 18A40text