Saturation points on faces of a rational polyhedral cone

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dc.creatorTakemura, Akimichi
dc.creatorYoshida, Ruriko
dc.date2006-05-17
dc.date2007-04-11
dc.date.accessioned2026-07-07T09:41:57Z
dc.date.available2026-07-07T09:41:57Z
dc.descriptionDifferent commutative semigroups may have a common saturation. We consider distinguishing semigroups with a common saturation based on their ``sparsity''. We propose to qualitatively describe sparsity of a semigroup by considering which faces of the corresponding rational polyhedral cone have saturation points. For a commutative semigroup we give a necessary and sufficient condition for determining which faces have saturation points. We also show that we can construct a commutative semigroup with arbitrary consistent patterns of faces with saturation points.
dc.identifierhttps://arxiv.org/abs/math/0605479
dc.identifierhttp://arxiv.org/abs/math/0605479
dc.identifierInteger Points in Polyhedra - Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics. edited by Matthias Beck et al., 147-161. 2008.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162008
dc.subjectCombinatorics
dc.subjectStatistics Theory
dc.titleSaturation points on faces of a rational polyhedral cone
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