RT journal article
T1 Affine convex body semigroups
A1 García García, Juan Ignacio
A1 Moreno Frías, María Ángeles
A1 Sánchez-Roselly Navarro, Alfredo
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 Affine semigroup
K1 Circle semigroup
K1 Convex body monoid
K1 Convex body semigroup
K1 Polygonal semigroup
AB In this paper we present a new class of semigroups called convex bodysemigroups which are generated by convex bodies of Rk. They generalize to arbitrarydimension the concept of proportionally modular numerical semigroups of Rosales etal. (J. Number Theory 103, 281–294, 2003). Several properties of these semigroupsare proven. Affine convex body semigroups obtained from circles and polygons ofR2 are characterized. The algorithms for computing minimal system of generators ofthese semigroups are given. We provide the implementation of some of them.
PB Springer
SN 0037-1912
YR 2013
FD 2013
LK http://hdl.handle.net/10498/35346
UL http://hdl.handle.net/10498/35346
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026