2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138611In this paper we obtain the Cartier duality for k-schemes of commutative monoids functorially without providing the vector spaces of functions with a topology, generalizing a result for finite commutative algebraic groups by M. Demazure and P. Gabriel.12 pagesAlgebraic Geometry14L15; 20M07, 22D35text