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Showing 2010 · math.ACShow all
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math.AC2010★ 5 cited
Dependence of Betti Numbers on Characteristic
Kia Dalili, Manoj Kummini
We study the dependence of graded Betti numbers of monomial ideals on the characteristic of the base field. The examples we describe include bipartite ideals, Stanley--Reisner idea…
math.AC2010
Poset Embeddings of Hilbert Functions
Giulio Caviglia, Manoj Kummini
For a standard graded algebra , we consider embeddings of the the poset of Hilbert functions of quotients of into the poset of ideals of , as a way of classification of H…