Saturation points on faces of a rational polyhedral cone

Details Saturation points on faces of a rational polyhedral cone Saturation points on faces of a rational polyhedral cone

2006-05-17

arxiv.org/abs/math/0605479v4

Integer Points in Polyhedra - Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics. edited by Mat

Mathematics

Combinatorics

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Saturation points on faces of a rational polyhedral cone does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Saturation points on faces of a rational polyhedral cone, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Saturation points on faces of a rational polyhedral cone will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-489969