Poset Resolutions of Monomial Ideals

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dc.creatorClark, Timothy B. P.
dc.date2008-06-27
dc.date.accessioned2026-07-07T09:47:12Z
dc.date.available2026-07-07T09:47:12Z
dc.descriptionWe 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 ideals includes (among others) the class of monomial ideals with linear free resolution and the class of Scarf monomial ideals. Our main tool is a new construction by Tchernev that produces from a map of posets $η:P\lra\mbb{N}^n$ a sequence of multigraded modules and maps.
dc.description26 pages, with an appendix by Alexandre Tchernev
dc.identifierhttps://arxiv.org/abs/0806.4532
dc.identifierhttp://arxiv.org/abs/0806.4532
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163791
dc.subjectCommutative Algebra
dc.titlePoset Resolutions of Monomial Ideals
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