2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65831A rig is a riNg without Negatives. We analyse the free rig on a generator x subject to the equivalence x = 1 + x + x^2, showing that in it the non-constant polynomials form a ring. This ring can be identified with the Gaussian integers, which thus acquire objective meaning.8 pages. Version 2: application to programming added; journal versionRings and AlgebrasCommutative AlgebraCategory TheoryAn Objective Representation of the Gaussian Integerstext