Generalized Koszul properties for augmented algebras
Abstract
Under certain conditions, a filtration on an augmented algebra A admits a related filtration on the Yoneda algebra E(A) := ExtA(K, K). We show that there exists a bigraded algebra monomorphism from gr E(A) to EGr(gr A), where EGr(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 K2 property recently introduced by Cassidy and Shelton.
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