13 citations · 37 across the 6 of their papers we have counts for
6 papers · 1 filter
Quotients of Koszul algebras and 2-d-determined algebras
Thomas Cassidy, Christopher Phan
Vatne and Green & Marcos have independently studied the Koszul-like homological properties of graded algebras that have defining relations in degree 2 and exactly one other degree.…
The Yoneda algebra of a graded Ore extension
Christopher Phan
Let A be a connected-graded algebra with trivial module k, and let B be a graded Ore extension of A. We relate the structure of the Yoneda algebra E(A) := Ext_A(k,k) to E(B). Cassi…
Localization algebras and deformations of Koszul algebras
Tom Braden, Anthony Licata, Christopher Phan +2
We show that the center of a flat graded deformation of a standard Koszul algebra behaves in many ways like the torus-equivariant cohomology ring of an algebraic variety with finit…
Noncommutative Koszul Algebras from Combinatorial Topology
Thomas Cassidy, Christopher Phan, Brad Shelton
Associated to any uniform finite layered graph Gamma there is a noncommutative graded quadratic algebra A(Gamma) given by a construction due to Gelfand, Retakh, Serconek and Wilson…
The Yoneda algebra of a K_2 algebra need not be another K_2 algebra
Thomas Cassidy, Christopher Phan, Brad Shelton
The Yoneda algebra of a Koszul algebra or a D-Koszul algebra is Koszul. K_2 algebras are a natural generalization of Koszul algebras, and one would hope that the Yoneda algebra of…
Generalized Koszul properties for augmented algebras
Christopher Phan
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…