scholarly journals The frobenius problem for some numerical semigroups with embedding dimension equal to three

2015 ◽  
Vol 4 (1055) ◽  
Author(s):  
Aureliano M. Robles
Keyword(s):  
Numerical Semigroups ◽  
Embedding Dimension ◽  
Frobenius Problem

The Frobenius problem for a class of numerical semigroups

2017 ◽  
Vol 13 (05) ◽  
pp. 1335-1347 ◽  
Author(s):  
Ze Gu ◽  
Xilin Tang
Keyword(s):  
Numerical Semigroup ◽  
Frobenius Number ◽  
Numerical Semigroups ◽  
Embedding Dimension ◽  
Frobenius Problem ◽  
Positive Integers

Let [Formula: see text] be two positive integers such that [Formula: see text] and [Formula: see text] the numerical semigroup generated by [Formula: see text]. Then [Formula: see text] is the Thabit numerical semigroup introduced by J. C. Rosales, M. B. Branco and D. Torrão. In this paper, we give formulas for computing the Frobenius number, the genus and the embedding dimension of [Formula: see text].

scholarly journals The Frobenius problem for numerical semigroups with embedding dimension equal to three

2012 ◽  
Vol 81 (279) ◽  
pp. 1609-1617
Author(s):  
Aureliano M. Robles-Pérez ◽  
José Carlos Rosales
Keyword(s):  
Numerical Semigroups ◽  
Embedding Dimension ◽  
Frobenius Problem

scholarly journals Measuring primality in numerical semigroups with embedding dimension three

2015 ◽  
Vol 15 (01) ◽  
pp. 1650007 ◽  
Author(s):  
S. T. Chapman ◽  
P. A. García-Sánchez ◽  
Z. Tripp ◽  
C. Viola
Keyword(s):  
Numerical Semigroup ◽  
Numerical Semigroups ◽  
Embedding Dimension ◽  
Catenary Degree

In this paper, we find the ω-value of the generators of any numerical semigroup with embedding dimension three. This allows us to determine all possible orderings of the ω-values of the generators. In addition, we relate the ω-value of the numerical semigroup to its catenary degree.

scholarly journals The Frobenius problem for Thabit numerical semigroups

2015 ◽  
Vol 155 ◽  
pp. 85-99 ◽  
Author(s):  
J.C. Rosales ◽  
M.B. Branco ◽  
D. Torrão
Keyword(s):  
Numerical Semigroups ◽  
Frobenius Problem

Proportionally modular numerical semigroups with embedding dimension three

2014 ◽  
Vol 84 (3-4) ◽  
pp. 319-332 ◽  
Author(s):  
AURELIANO M. ROBLES-PEREZ ◽  
JOSE CARLOS ROSALES
Keyword(s):  
Numerical Semigroups ◽  
Embedding Dimension

Delta sets for nonsymmetric numerical semigroups with embedding dimension three

2018 ◽  
Vol 30 (1) ◽  
pp. 15-30 ◽  
Author(s):  
Pedro A. García-Sánchez ◽  
David Llena ◽  
Alessio Moscariello
Keyword(s):  
Fast Algorithm ◽  
Numerical Semigroup ◽  
Numerical Semigroups ◽  
Embedding Dimension ◽  
Delta Set

Abstract We present a fast algorithm to compute the Delta set of a nonsymmetric numerical semigroup with embedding dimension three. We also characterize the sets of integers that are the Delta set of a numerical semigroup of this kind.

scholarly journals On the number of L-shapes in embedding dimension four numerical semigroups

2015 ◽  
Vol 338 (12) ◽  
pp. 2168-2178
Author(s):  
F. Aguiló-Gost ◽  
P.A. García-Sánchez ◽  
D. Llena
Keyword(s):  
Numerical Semigroups ◽  
Embedding Dimension
Sign in / Sign up

Export Citation Format

Share Document