2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97419For a finite dimensional monomial algebra $Λ$ over a field $K$ we show that the Hochschild cohomology ring of $Λ$ modulo the ideal generated by homogeneous nilpotent elements is a commutative finitely generated $K$-algebra of Krull dimension at most one. This was conjectured to be true for any finite dimensional algebra over a field by Snashall-Solberg.35 pagesK-Theory and Homology16E40, 16P10The Hochschild cohomology ring modulo nilpotence of a monomial algebratext