scholarly journals Numerical Semigroups with a Monotonic Apery Set

2005 ◽  
Vol 55 (3) ◽  
pp. 755-772 ◽  
Author(s):  
J. C. Rosales ◽  
P. A. Garcia-Sanchez ◽  
J. I. Garcia-Garcia ◽  
M. B. Branco
Keyword(s):  
Numerical Semigroups ◽  
Apéry Set

scholarly journals On Pythagorean triplet semigroups

2020 ◽  
Vol 26 (4) ◽  
pp. 63-67
Author(s):  
Antoine Mhanna ◽  
Keyword(s):  
Numerical Semigroups ◽  
Apéry Set ◽  
Frobenius Numbers

In this note we explain the two pseudo-Frobenius numbers for \langle m^2-n^2,m^2+n^2,2mn\rangle where m and n are two coprime numbers of different parity. This lets us give an Apéry set for these numerical semigroups.

scholarly journals Almost canonical ideals and GAS numerical semigroups

2021 ◽  
pp. 1-24
Author(s):  
Marco D’Anna ◽  
Francesco Strazzanti
Keyword(s):  
Numerical Semigroups

scholarly journals The set of numerical semigroups of a given genus

2012 ◽  
Vol 85 (2) ◽  
pp. 255-267 ◽  
Author(s):  
V. Blanco ◽  
J. C. Rosales
Keyword(s):  
Numerical Semigroups

Numerical semigroups and Kunz polytopes

2019 ◽  
Vol 99 (1) ◽  
pp. 153-168 ◽  
Author(s):  
Elie Alhajjar ◽  
Travis Russell ◽  
Michael Steward
Keyword(s):  
Numerical Semigroups
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