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math.RA2012★ 3 cited
Splitting Algebras II: The Cohomology Algebra
Brad Shelton
Gelfand, Retakh, Serconek and Wilson, in \cite{GRSW}, defined a graded algebra attached to any finite ranked poset - a generalization of the universal algebra of pseudo-r…
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…