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math.RA2009
Quadratic algebras with Ext algebras generated in two degrees
Thomas Cassidy
We 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 algebr…
math.RA2007★ 1 cited
Generalizing the notion of Koszul algebra
Thomas Cassidy, Brad Shelton
We introduce a generalization of the notion of a Koszul algebra, which includes graded algebras with relations in different degrees, and we establish some of the basic properties o…
math.RA2006
PBW-deformation theory and regular central extensions
Thomas Cassidy, Brad Shelton
A deformation , of a graded -algebra is said to be of PBW type if is . It has been shown for Koszul and -Koszul algebras that the deformation is PBW if and on…