Elsevier

Journal of Symbolic Computation

Volume 87, July–August 2018, Pages 87-98
Journal of Symbolic Computation

Computing the Betti table of a monomial ideal: A reduction algorithm

https://doi.org/10.1016/j.jsc.2017.06.001Get rights and content
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Abstract

In this paper we develop a new technique to compute the Betti table of a monomial ideal. We present a prototype implementation of the resulting algorithm and we perform some numerical experiments. As a major byproduct, we also prove new constraints on the shape of the possible Betti tables of a monomial ideal.

Keywords

Betti tables
Monomial ideals
Subadditivity property

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