scholarly journals A study on the symmetrıc numerıcal semıgroups

2020 ◽  
Keyword(s):  
Numerical Semigroups ◽  
Symmetric Numerical Semigroups

scholarly journals Almost symmetric numerical semigroups with given Frobenius number and type

2019 ◽  
Vol 18 (11) ◽  
pp. 1950217
Author(s):  
M. B. Branco ◽  
I. Ojeda ◽  
J. C. Rosales
Keyword(s):  
Frobenius Number ◽  
Numerical Semigroups ◽  
Symmetric Numerical Semigroups

We give two algorithmic procedures to compute the whole set of almost symmetric numerical semigroups with fixed Frobenius number and type, and the whole set of almost symmetric numerical semigroups with fixed Frobenius number. Our algorithms allow to compute the whole set of almost symmetric numerical semigroups with fixed Frobenius number with similar or even higher efficiency that the known ones. They have been implemented in the GAP [The GAP Group, GAP — Groups, Algorithms and Programming, Version 4.8.6; 2016, https://www.gap-system.org ] package NumericalSgps [M. Delgado and P. A. García-Sánchez and J. Morais, “numericalsgps”: A GAP package on numerical semigroups, https://github.com/gap-packages/numericalsgps ].

scholarly journals The Article A View On Symmetric Numerical Semigroups

2021 ◽  
Vol 26 (3) ◽  
Author(s):  
Sedat İLHAN
Keyword(s):  
Numerical Semigroups ◽  
Integer Number ◽  
Symmetric Numerical Semigroups

 In this paper, we will give some results about the symmetric numerical semigroups such that Sk=<7,7k+4>  where k is integer number.. Also, we will obtain Arf closure of these symmetric numerical semigroups.

scholarly journals Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples

Integers ◽  
2009 ◽  
Vol 9 (2) ◽  
Author(s):  
Leonid G. Fel
Keyword(s):  
Numerical Semigroups ◽  
Symmetric Numerical Semigroups

AbstractThe symmetric numerical semigroups S(

Parametrizing numerical semigroups with multiplicity up to 5

2018 ◽  
Vol 28 (01) ◽  
pp. 69-95 ◽  
Author(s):  
Halil İbrahim Karakaş
Keyword(s):  
Numerical Semigroups ◽  
Symmetric Numerical Semigroups

In this work, we give parametrizations in terms of the Kunz coordinates of numerical semigroups with multiplicity up to [Formula: see text]. We also obtain parametrizations of MED semigroups, symmetric and pseudo-symmetric numerical semigroups with multiplicity up to [Formula: see text]. These parametrizations also lead to formulas for the number of numerical semigroups, the number of MED semigroups and the number of symmetric and pseudo-symmetric numerical semigroups with multiplicity up to [Formula: see text] and given conductor.

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