Saturation points on faces of a rational polyhedral cone

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Different 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.

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Combinatorics, Statistics Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/162008

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605479
 http://arxiv.org/abs/math/0605479
 Integer Points in Polyhedra - Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics. edited by Matthias Beck et al., 147-161. 2008.

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arXiv