The Hochschild cohomology ring of a class of special biserial algebras

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dc.creatorSnashall, Nicole
dc.creatorTaillefer, Rachel
dc.date2008-03-11
dc.date.accessioned2026-07-07T09:26:09Z
dc.date.available2026-07-07T09:26:09Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0803.1536
dc.identifierhttp://arxiv.org/abs/0803.1536
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156654
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject16E40, 18G10, 16D40, 16D50 (Primary); 16S37 (Secondary)
dc.titleThe Hochschild cohomology ring of a class of special biserial algebras
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