Stanley depth and the lcm-lattice
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Otros documentos de la autoría: Ichim, Bogdan; Katthän, Lukas; Moyano-Fernández, Julio José
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Stanley depth and the lcm-latticeFecha de publicación
2017-08Editor
ElsevierCita bibliográfica
ICHIM, Bogdan; KATTHÄN, Lukas; MOYANO-FERNÁNDEZ, Julio José. Stanley depth and the lcm-lattice. Journal of Combinatorial Theory, Series A, 2017, vol. 150, p. 295-322.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0097316517300328Versión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
In this paper we show that the Stanley depth, as well as the usual depth, are essentially determined by the lcm-lattice. More precisely, we show that for quotients of monomial ideals , both invariants behave monotonic ... [+]
In this paper we show that the Stanley depth, as well as the usual depth, are essentially determined by the lcm-lattice. More precisely, we show that for quotients of monomial ideals , both invariants behave monotonic with respect to certain maps defined on their lcm-lattice. This allows simple and uniform proofs of many new and known results on the Stanley depth. In particular, we obtain a generalization of our result on polarization presented in [16]. We also obtain a useful description of the class of all monomial ideals with a given lcm-lattice, which is independent from our applications to the Stanley depth. [-]
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Journal of Combinatorial Theory, Series A Volume 150, August 2017Derechos de acceso
© 2017 Elsevier Inc. All rights reserved.
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