A Criterion for a Monomial Ideal to have a Linear Resolution in Characteristic 2

E. Connon, Sara Faridi

Abstract


In this paper we give a necessary and sufficient combinatorial condition for a monomial ideal to have a linear resolution over fields of characteristic 2.

Keywords


linear resolution, monomial ideal, chordal graph, simplicial complex, simplicial homology, Stanley-Reisner complex, edge ideal, facet ideal, chorded complex, chordal hypergraph, Froeberg’s theorem

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