RT journal article
T1 Characterizing affine C-semigroups
A1 Díaz-Ramírez, Juan de Dios
A1 García García, Juan Ignacio
A1 Marín Aragón, Daniel
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 Affine semigroup
K1 C-semigroup
K1 Embedding dimension
K1 Gap of a semigroup
K1 Generalized numerical semigroup
K1 Irreducible semigroup
AB Let C subset of N-p be a finitely generated integer cone and S subset of C be an affine semigroup such that the real cones generated by C and by S are equal. The semigroup S is called C-semigroup if C \ S is a finite set. In this paper, we characterize the C-semigroups from their minimal generating sets, and we give an algorithm to check if S is a C-semigroup and to compute its set of gaps. We also study the embedding dimension of C-semigroups obtaining a lower bound for it, and introduce some families of C-semigroups whose embedding dimension reaches our bound. In the last section, we present a method to obtain a decomposition of a C-semigroup into irreducible C-semigroups.
PB SPRINGER
SN 0035-5038
YR 2022
FD 2022-04
LK http://hdl.handle.net/10498/26584
UL http://hdl.handle.net/10498/26584
LA eng
NO The authors thank the referees for their helpful observations. The authors were partially supported by Junta de Andalucia research group FQM-366. The first author was supported by the Programa Operativo de Empleo Juvenil 2014-2020, financed by the European Social Fund within the Youth Guarantee initiative. The second, third and fourth authors were partially supported by the project MTM2017-84890-P (MINECO/FEDER, UE), and the fourth author was partially supported by the project MTM2015-65764-C3-1-P (MINECO/FEDER, UE).
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026