Generalized Koszul properties for augmented algebras
Rings and Algebras
2009-01-20 v1
Abstract
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.
Cite
@article{arxiv.0711.3480,
title = {Generalized Koszul properties for augmented algebras},
author = {Christopher Phan},
journal= {arXiv preprint arXiv:0711.3480},
year = {2009}
}
Comments
14 pages