RT journal article
T1 A computational Approach to the Study of Finite-Complement Submonids of an Affine Cone
A1 Rosales, J.C.
A1 Tapia Ramos, Raquel
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 Affine semigroup
K1 C-semigroup
K1 embedding dimension
K1 Frobenius element
K1 generalized numerical semigroup
K1 genus
K1 rooted tree
K1 Wilf’s conjecture
AB Let C⊆Np be an integer cone. A C-semigroup S⊆C is an affine semigroup such that the set C\S is finite. Such C-semigroups are central to our study. We develop new algorithms for computing C-semigroups with specified invariants, including genus, Frobenius element, and their combinations, among other invariants. To achieve this, we introduce a new class of C-semigroups, termed B-semigroups. By fixing the degree lexicographic order, we also research the embedding dimension for both ordinary and mult-embedded N2-semigroups. These results are applied to test some generalizations of Wilf’s conjecture.
PB Birkhauser
SN 1420-9012
YR 2025
FD 2025
LK http://hdl.handle.net/10498/36333
UL http://hdl.handle.net/10498/36333
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026