Stable, vertex splittable, and linear quotient monomial ideals admit minimal pruned free resolutions, unifying the Eliahou-Kervaire and Herzog-Takayama constructions.
Pruned cellular free resolutions of monomial ideals
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Morse resolutions of monomial ideals and Betti splittings
Stable, vertex splittable, and linear quotient monomial ideals admit minimal pruned free resolutions, unifying the Eliahou-Kervaire and Herzog-Takayama constructions.