%0 Journal Article 
%A García García, Juan Ignacio
%A Moreno Frías, María Ángeles
%A Sánchez-Roselly Navarro, Alfredo
%A Vigneron Tenorio, Alberto
%T Affine convex body semigroups
%D 2013
%@ 0037-1912
%U http://hdl.handle.net/10498/35346
%X In this paper we present a new class 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 semigroups of Rosales et
al. (J. Number Theory 103, 281–294, 2003). 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.
%K Affine semigroup
%K Circle semigroup
%K Convex body monoid
%K Convex body semigroup
%K Polygonal semigroup
%~ Universidad de Cádiz