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math.RA2016
Weakly Cohen-Macaulay posets and a class of finite-dimensional graded quadratic algebras
Tyler Kloefkorn
To a finite ranked poset we associate a finite-dimensional graded quadratic algebra . Assuming satisfies a combinatorial condition known as uniform, is related t…
math.RA2012
Splitting Algebras: Koszul, Cohen-Macaulay and Numerically Koszul
Tyler Kloefkorn, Brad Shelton
We study a finite dimensional quadratic graded algebra R defined from a finite ranked poset. This algebra has been central to the study of the splitting algebra of the poset, A, as…