Resolutions of modules with initially linear syzygies

Mathematics – Commutative Algebra

Scientific paper

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14 pages; typos fixed, reference added, some explanations improved

Scientific paper

We introduce the class of modules with initially linear syzygies, which
includes ideals with linear quotients, and study their minimal resolutions.
Using a contracting homotopy for the resolutions, we see that the minimal
resolution of a matroidal monomial ideal admits a DGA structure.

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