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math.AC2008
A Minimal Poset Resolution of Stable Ideals
Timothy B. P. Clark
We use the theory of poset resolutions to construct the minimal free resolution of an arbitrary stable monomial ideal in the polynomial ring whose coefficients are from a field. Th…
math.AC2008
Poset Resolutions of Monomial Ideals
Timothy B. P. Clark
We introduce the class of lattice-linear monomial ideals and use the LCM-lattice to give an explicit construction for their minimal free resolution. The class of lattice-linear ide…