Generalized Koszul properties for augmented algebras

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dc.creatorPhan, Christopher
dc.date2007-11-21
dc.date.accessioned2026-07-07T12:30:51Z
dc.date.available2026-07-07T12:30:51Z
dc.descriptionUnder certain conditions, a filtration on an augmented algebra A admits a related filtration on the Yoneda algebra E(A) := Ext_A(K, K). We show that there exists a bigraded algebra monomorphism from gr E(A) to E_Gr(gr A), where E_Gr(gr A) is the graded Yoneda algebra of gr A. This monomorphism can be applied in the case where A is connected graded to determine that A has the K_2 property recently introduced by Cassidy and Shelton.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0711.3480
dc.identifierhttp://arxiv.org/abs/0711.3480
dc.identifierJ. Algebra 321 (2009) 1522-1537
dc.identifierdoi:10.1016/j.jalgebra.2008.12.011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216259
dc.subjectRings and Algebras
dc.subject16E65
dc.titleGeneralized Koszul properties for augmented algebras
dc.typetext

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