%0 Journal Article
%T The Hochschild cohomology ring of a class of special biserial algebras
%A Nicole Snashall
%A Rachel Taillefer
%J Mathematics
%D 2008
%I arXiv
%X We consider a class of self-injective special biserial algebras $\Lambda_N$ over a field $K$ and show that the Hochschild cohomology ring of $\Lambda_N$ is a finitely generated $K$-algebra. Moreover the Hochschild cohomology ring of $\Lambda_N$ 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.
%U http://arxiv.org/abs/0803.1536v1