RT journal article
T1 On the quotient of affine semigroups by a positive integer
A1 García García, Juan Ignacio
A1 Tapia Ramos, Raquel
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 Affine semigroup
K1 Arithmetic variety
K1 C-semigroup
K1 Frobenius element
K1 Irreducibility
K1 Quotient by a positive integer
K1 Rooted tree
AB This work delves into the quotient of an affine semigroup by a positive integer, exploring its intricate properties and broader implications. We unveil an associated tree that serves as a valuable tool for further analysis. Moreover, we successfully generalize several key irreducibility results, extending their applicability to the more general class of C-semigroup quotients. To shed light on these concepts, we introduce the novel notion of an arithmetic variety of affine semigroups, accompanied by illuminating examples that showcase its power.
PB Springer-Verlag Italia s.r.l.
SN 1827-3491
YR 2024
FD 2024
LK http://hdl.handle.net/10498/36030
UL http://hdl.handle.net/10498/36030
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026