2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156034We consider the functions in two variables on an arbitrary poset, for which the convolution operation is defined. We obtain the generalization of incidence algebra and describe its properties: invertibility, the Jackobson radical, idempotents, regular elements. As a consequence a positive solution of the isomorphism problem for such algebras is obtained.8 pages, LatexRings and AlgebrasCombinatorics16S99; 05A15text