Affine convex body semigroups
Commutative Algebra
2013-10-15 v1
Abstract
In this paper we present a new kind of semigroups called convex body semigroups which are generated by convex bodies of R^k. They generalize to arbitrary dimension the concept of proportionally modular numerical semigroup of [7]. Several properties of these semigroups are proven. Affine convex body semigroups obtained from circles and polygons of R^2 are characterized. The algorithms for computing minimal system of generators of these semigroups are given. We provide the implementation of some of them.
Cite
@article{arxiv.1203.2129,
title = {Affine convex body semigroups},
author = {J. I. García-García and M. A. Moreno-Frías and A. Sánchez-R. -Navarro and A. Vigneron-Tenorio},
journal= {arXiv preprint arXiv:1203.2129},
year = {2013}
}