2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156654We consider a class of self-injective special biserial algebras $Λ_N$ over a field $K$ and show that the Hochschild cohomology ring of $Λ_N$ is a finitely generated $K$-algebra. Moreover the Hochschild cohomology ring of $Λ_N$ modulo nilpotence is a finitely generated commutative $K$-algebra of Krull dimension two. As a consequence the conjecture of Snashall-Solberg \cite{SS}, concerning the Hochschild cohomology ring modulo nilpotence, holds for this class of algebras.Rings and AlgebrasRepresentation Theory16E40, 18G10, 16D40, 16D50 (Primary); 16S37 (Secondary)text