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Showing 1 to 3 of 3 for “"Koszul algebras"”.
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Graphs and Noncommutative Koszul Algebras
… class of directed graphs to noncommutative Koszul algebras. The directed graphs in this class are called full graphs and are defined by a set of criteria on the edges. The structural properties of full graphs are studied as they relate to the edge criteria. A method is introduced for …
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Betti numbers of Koszul algebras and codimension two matrix factorizations
… theorem in Chapter 3 for the defining ideals of Koszul almost complete intersections and, in the process, give an affirmative answer for all such rings to a question of Avramov, Conca, and Iyengar about the Betti numbers of Koszul algebras. In Chapter 4, we study the codimension two matrix …
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Properties of the Toric Rings of a Chordal Bipartite Family of Graphs
… the classification and study of a group of Koszul algebras coming from the toric ideals of a chordal bipartite infinite family of graphs (alternately, these rings may be interpreted as coming from determinants of certain ladder-like structures). We determine a linear system of parameters for …