The Hochschild cohomology ring modulo nilpotence of a monomial algebra

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For 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 pages

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K-Theory and Homology, 16E40, 16P10

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http://salesiana.dossiersoluciones.com/handle/123456789/97419

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401446
 http://arxiv.org/abs/math/0401446
 Journal of Algebra and Its Applications, vol. 5, no. 2 (2006) 1-40.

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arXiv