Sonja Mapes, Columbia University

LCM lattices and cellular resolutions of monomial ideals

In the study of cellular resolutions of monomial ideals it is often useful to consider the LCM lattice of the given monomial ideal. It has been shown that given a finite atomic lattice L one can construct certain monomial ideals M whose LCM lattice is L. The purpose of this talk is to explore the relationship between LCM lattices which have similar associated monomial ideals.

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