Affine convex body semigroups
García-García, J. I. · Moreno-Frías, M. A. · -Navarro, A. Sánchez-R. · Vigneron-Tenorio, A.
Original · EN
In this paper we present a new kind of semigroups called convex body semigroups which are generated by convex bodies of Rᵏ. 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 R² 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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