Generalized Koszul properties for augmented algebras

Details Generalized Koszul properties for augmented algebras Generalized Koszul properties for augmented algebras

2007-11-21

arxiv.org/abs/0711.3480v1

J. Algebra 321 (2009) 1522-1537

Mathematics

Rings and Algebras

14 pages

Scientific paper

10.1016/j.jalgebra.2008.12.011

Under 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.

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