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# ResolutionsOfStanleyReisnerRings : Table of Contents

- ResolutionsOfStanleyReisnerRings -- Resolutions of Stanley-Reisner rings over certain parameter rings.
- barycentricSubdivision -- the barycentric subdivision of a simplicial complex.
- colorfulPresentation -- A presentation of the Stanley-Reisner ring of the barycentric subdivision of a simplicial complex over its colorful parameter ring
- colorfulSOP -- Colorful System of Parameters (KSOP)
- equalBettiTally -- Computes the Betti table of two modules and compares for equality
- sumBetti -- Computes the sum of Betti numbers.
- universalPresentation -- A presentation of the Stanley-Reisner ring over its universal parameter ring
- universalSOP -- Universal System of Parameters (USOP)