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Affine convex body semigroups

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.

preprint2012arXivOpen access
J. I. García-GarcíaM. A. Moreno-FríasA. Sánchez-R. -NavarroA. Vigneron-Tenorio
math.AC
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J. I. García-GarcíaM. A. Moreno-FríasA. Sánchez-R. -NavarroA. Vigneron-Tenorio

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