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math.AC2016
Generalized multiplicities of edge ideals
Ali Alilooee, Ivan Soprunov, Javid Validashti
We explore connections between the generalized multiplicities of square-free monomial ideals and the combinatorial structure of the underlying hypergraphs using methods of commutat…
math.AC2016
Hilbert-Kunz multiplicity of products of ideals
Neil Epstein, Javid Validashti
We give bounds for the Hilbert-Kunz multiplicity of the product of two ideals, and we characterize the equality in terms of the tight closures of the ideals. Connections are drawn…