2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155595We consider cohomology of diagrams of algebras by Beck's approach, using comonads. We then apply this theory to computing the cohomology of $Ψ$-rings. Our main result is that there is a spectral sequence connecting the cohomology of the diagram of an algebra to the cohomology of the underlying algebra.K-Theory and Homology18G55; 18G99; 18C15text