The Hochschild cohomology ring modulo nilpotence of a monomial algebra

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dc.creatorGreen, E. L.
dc.creatorSnashall, N.
dc.creatorSolberg, Ø.
dc.date2004-01-30
dc.date.accessioned2026-07-07T06:27:27Z
dc.date.available2026-07-07T06:27:27Z
dc.descriptionFor 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.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0401446
dc.identifierhttp://arxiv.org/abs/math/0401446
dc.identifierJournal of Algebra and Its Applications, vol. 5, no. 2 (2006) 1-40.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97419
dc.subjectK-Theory and Homology
dc.subject16E40, 16P10
dc.titleThe Hochschild cohomology ring modulo nilpotence of a monomial algebra
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