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arXiv · 1203.2129

Affine convex body semigroups

J. I. García-García·M. A. Moreno-Frías·A. Sánchez-R. -Navarro·A. Vigneron-Tenorio
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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.

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J. I. García-García, M. A. Moreno-Frías, A. Sánchez-R. -Navarro, A. Vigneron-Tenorio. 2012-03-09. Affine convex body semigroups. https://doi.org/10.1007/s00233-012-9460-9

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