%0 Journal Article 
%A Rosales, J.C.
%A Tapia Ramos, Raquel
%A Vigneron Tenorio, Alberto
%T A computational Approach to the Study of Finite-Complement Submonids of an Affine Cone
%D 2025
%@ 1420-9012

%U http://hdl.handle.net/10498/36333
%X 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.
%K Affine semigroup
%K C-semigroup
%K embedding dimension
%K Frobenius element
%K generalized numerical semigroup
%K genus
%K rooted tree
%K Wilf’s conjecture
%~ Universidad de Cádiz