Quadratic algebras with Ext algebras generated in two degrees

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dc.creatorCassidy, Thomas
dc.date2009-03-02
dc.date.accessioned2026-07-07T12:48:13Z
dc.date.available2026-07-07T12:48:13Z
dc.descriptionWe show that there exist non-Koszul graded algebras that appear to be Koszul up to any given cohomological degree. For any integer m>2 we exhibit a non-commutative quadratic algebra for which the corresponding bigraded Yoneda algebra is generated in degrees (1,1) and (m,m+1). The algebra is therefore not Koszul but is m-Koszul (in the sense of Backelin). These examples answer a question of Green and Marcos.
dc.identifierhttps://arxiv.org/abs/0903.0344
dc.identifierhttp://arxiv.org/abs/0903.0344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221976
dc.subjectRings and Algebras
dc.subject16S37; 16E05
dc.titleQuadratic algebras with Ext algebras generated in two degrees
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