2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225710We derive consequences from the existence of a term which satisfies Mal'cev identities (characterizing permutability) modulo two functions F and G from admissible relations to admissible relations. We also provide characterizations of varieties having a Mal'cev term modulo F and G.7 pagesGeneral Mathematics08A30; 08B05Towards commutator theory for relations. IIItext