6 citations · 9 across the 6 of their papers we have counts for
8 papers
Curved DG Modules and Matrix Factorizations from Noncommutative Quadric Hypersurfaces
Peter Goetz
The category of noncommutative quadratic quadric hypersurfaces, , consists of pairs , where is a quadratic algebra and is a nonze…
Algebras Associated to Inverse Systems of Projective Schemes
Andrew Conner, Peter Goetz
Artin, Tate and Van den Bergh initiated the field of noncommutative projective algebraic geometry by fruitfully studying geometric data associated to noncommutative graded algebras…
Quantum projective planes as certain graded twisted tensor products
Andrew Conner, Peter Goetz
Let be an algebraically closed field. Building upon previous work, we classify, up to isomorphism of graded algebras, quadratic graded twisted tensor products of $\mat…
Graded Coherence of Certain Extensions of Graded Algebras
Peter Goetz
Let $\k$ be a field, and let and be connected -graded $\k$-algebras. The algebra is said to be a graded right-free extension of provided there is a surjective g…
Classification, Koszulity and Artin-Schelter Regularity of certain Graded Twisted Tensor Products
Andrew Conner, Peter Goetz
Let be an algebraically closed field. We classify all of the quadratic twisted tensor products in the cases where $(A, B) = (\mathbb{k}[x], \mathbb{k}[…
The Koszul Property for Graded Twisted Tensor Products
Andrew Conner, Peter Goetz
Let be a field. Let and be connected -graded -algebras. Let denote a twisted tensor product of and in the category of connected -graded -algebra…
Some non-Koszul algebras from rational homotopy theory
Andrew Conner, Peter Goetz
The McCool group, denoted , is the group of pure symmetric automorphisms of a free group of rank . The cohomology algebra was determined by Jensen,…
-algebra Structures Associated to -algebras
Andrew Conner, Pete Goetz
The notion of a -algebra was recently introduced by Cassidy and Shelton as a generalization of the notion of a Koszul algebra. The Yoneda algebra of any connected gr…