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CW-resolutions of monomial ideals that are supported on face posets
Authors:Daniel Wood
Affiliation:Department of Mathematics, University at Albany, SUNY, Albany, New York, USA
Abstract:Given a monomial ideal I with minimal free resolution ? supported in characteristic p>0 on a CW-complex X with regular 2-skeleton, in general it is not the case that the face poset of X, P(X), also supports ? in the sense of Clark and Tchernev. We construct a (not necessarily regular) CW-complex Y that also supports ? and such that the face poset P(Y) also supports ?.
Keywords:Commutative algebra  CW-resolutions  minimal free resolutions  monomial ideals
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