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Koszul Algebras from Graphs and Hyperplane Arrangements (with Sergey Yuzvinsky), J. London Math. Soc. (2) 56 No. 3 (1997), 477-490. Some Quantum P3's win One Point. (with Michaela Vancliff), Comm. Alg. 27 No. 3 (1999), 1429-1443. Embedding a Quantum Rank Three Quadric in a Quantum P3. (with Michaela Vancliff) Comm. Alg. 27 No. 6 (1999), 2877-2904. On Koszul Algebras and a new construction of Artin-Schelter Regular Algebras. (with Craig Tingey) Journal of Algebra. 241 (2001), 789-798. Schemes of Line Modules I. (with Michaela Vancliff) J. London Math. Soc. 65 No. 3 (2002), 575-590. |
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Schemes of Line Modules II. (with Michaela Vancliff) Comm. Alg. 30 No. 5 (2002), 2535-2552.
Basic Properties of Generalized Down-Up Algebras (with Thomas Cassidy) Journal of Algebra. 279 (2004), 402-421.
Representation Theory of Two Families of Quantum Projective 3-Spaces. (with Peter Goetz) To appear: Journal of Algebra.
Generalized Laurent Polynomial Rings as Quantum Projective 3-Spaces. (with Thomas Cassidy and Peter Goetz) To appear: Journal of Algebra 303, 358-372.
PBW Deformation Theory and Regular Central Extensions (with Thomas Cassidy) To appear: Crelle's Journal.
Generalizing the notion of Koszul Algebra (with Thomas Cassidy) Preprint, March 11, 2007.



