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math.AC2015★ 20 cited
A note on Fröberg's conjecture for forms of equal degrees
Gleb Nenashev
In this note by using elementary considerations, we settle Fröberg's conjecture for a large number of cases, when all generators of ideals have the same degree.
math.CO2015★ 3 cited
Postnikov-Shapiro Algebras, Graphical Matroids and their generalizations
Gleb Nenashev
In this paper we consider the original and different generalizations of Postnikov-Shapiro algebra which enumerate forests and trees of graphs, see~\cite{PSh}. Our main result is th…