Second syzygies of monomial submodules from walks

Mathematics – Commutative Algebra

Scientific paper

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9 pages, 3 figures; comments are welcome

Scientific paper

We present an explicit and especially simple filtration on the module of
syzygies of a monomial submodule. Our main tool is the description of
generators of the module of second syzygies in terms of walks in a complete
graph.

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