Geodesic
Factoring in embedding dimension three numerical semigroups
The electronic journal of combinatorics, Tome 17 (2010)

Voir la notice de l'article provenant de la source The Electronic Journal of Combinatorics website

Zbl EuDML
Let us consider a $3$-numerical semigroup $S=\langle{a,b,N}\rangle$. Given $m\in S$, the triple $(x,y,z)\in\mathbb{N}^3$ is a factorization of $m$ in $S$ if $xa+yb+zN=m$. This work is focused on finding the full set of factorizations of any $m\in S$ and as an application we compute the catenary degree of $S$. To this end, we relate a 2D tessellation to $S$ and we use it as a main tool.
DOI : 10.37236/410
Classification : 05C90, 11D07, 11D45, 11P21 
F. Aguiló-Gost; P. A. García-Sánchez. Factoring in embedding dimension three numerical semigroups. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/410
@article{10_37236_410,
     author = {F. Aguil\'o-Gost and P. A. Garc{\'\i}a-S\'anchez},
     title = {Factoring in embedding dimension three numerical semigroups},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/410},
     zbl = {1204.05094},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/410/}
}
TY  - JOUR
AU  - F. Aguiló-Gost
AU  - P. A. García-Sánchez
TI  - Factoring in embedding dimension three numerical semigroups
JO  - The electronic journal of combinatorics
PY  - 2010
VL  - 17
UR  - http://geodesic.mathdoc.fr/articles/10.37236/410/
DO  - 10.37236/410
ID  - 10_37236_410
ER  - 
%0 Journal Article
%A F. Aguiló-Gost
%A P. A. García-Sánchez
%T Factoring in embedding dimension three numerical semigroups
%J The electronic journal of combinatorics
%D 2010
%V 17
%U http://geodesic.mathdoc.fr/articles/10.37236/410/
%R 10.37236/410
%F 10_37236_410

Cité par Sources :