The Hochschild cohomology ring of a class of special biserial algebras

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We 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.

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Rings and Algebras, Representation Theory, 16E40, 18G10, 16D40, 16D50 (Primary); 16S37 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/156654

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.1536
 http://arxiv.org/abs/0803.1536

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arXiv