LCM lattices supporting pure resolutions

We characterize the lcm lattices that support a monomial ideal with a pure resolution. Given such a lattice, we provide a construction that yields a monomial ideal with that lcm lattice and whose minimal free resolution is pure.

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Bibliographische Detailangaben
Veröffentlicht in:	Proceedings of the American Mathematical Society 2016-06, Vol.144 (6), p.2315-2325
Hauptverfasser:	Francisco, Christopher A., Mermin, Jeffrey, Schweig, Jay
Format:	Artikel
Sprache:	eng
Schlagworte:	A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We characterize the lcm lattices that support a monomial ideal with a pure resolution. Given such a lattice, we provide a construction that yields a monomial ideal with that lcm lattice and whose minimal free resolution is pure.
ISSN:	0002-9939 1088-6826
DOI:	10.1090/proc/12890