Cohen-Macaulay Monomial Ideals of Codimension 2

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

We give a structure theorem for Cohen Macaulay monomial ideals of codimension
2, and describe all possible relation matrices of such ideals. In case that the
ideal has a linear resolution, the relation matrices can be identified with the
spanning trees of a connected chordal graph with the property that each
distinct pair of maximal cliques of the graph has at most one vertex in common.

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