2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129206Generalizing homogeneous spectra for rings graded by natural numbers, we introduce multihomogeneous spectra for rings graded by abelian groups. Such homogeneous spectra have the same completeness properties as their classical counterparts, but are possibly nonseparated. We relate them to ample families of invertible sheaves and simplicial toric varieties. As an application, we generalize Grothendieck's Algebraization Theorem and show that formal schemes with certain ample families are algebraizable.18 pages. Proof of Proposition 2.5 corrected and related examples included (the irrelevant ideal does not necessarily commute with base change, but its radical does)Algebraic Geometry14A15, 14D15, 14F17, 14M25text