Research Article

A Study On Maximal Embedding Dimension Numerical Semigroups

Volume: 10 Number: 1 June 30, 2024
EN

A Study On Maximal Embedding Dimension Numerical Semigroups

Abstract

In this article, it is examine some the numerical semigroups W and W/2 such that W= < p, q > and W/2= < p, p+q/2, q > where p < q and p, q are odd natural numbers.

Keywords

References

  1. Barucci, V., Dobbs, D. E. and Fontana, M. (1997). Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains, Mem. Amer. Math. Soc. 125, no. 598.
  2. Rosales, J. C. and Garcia-Sanchez, P. A. (2005).Pseudo-symmetric numerical semigroups with three generators , Journal of Algebra, 291(1), 46-54.
  3. Rosales, J. C. (1996). On symmetric numerical semigroups. J. Algebra, 182(2), 422–434.
  4. Rosales, J.C. and Garcia-Sanchez , P.A. (2008). Every numerical semigroup is one half of a symmetric numerical semigroup, Proc. Amer. Math. Soc., 136, 475-477.
  5. Süer, M. and Çelik, Ö. (2022). On Delta Sets of Some Pseudo-Symmetric Numerical Semigroups with Embedding Dimension Three, Bitlis Eren University Journal of Science, 3(1), 335-343.
  6. Froberg, R., Gotlieb, C. and Haggkvist, R. (1987). On numerical semigroups, Semigroup Forum, 35, 63-68.
  7. Harold J. S., Fractions of Numerical Semigroups. (2010). University of Tennessee, Doctoral Dis-sertations.
  8. Assi, A. and Garcia-Sanchez, P. A. (2016). Numerical Semigroups and Applications, Springer: Cham, Switzerland.

Details

Primary Language

English

Subjects

Robotics

Journal Section

Research Article

Early Pub Date

June 28, 2024

Publication Date

June 30, 2024

Submission Date

March 20, 2024

Acceptance Date

May 17, 2024

Published in Issue

Year 2024 Volume: 10 Number: 1

APA
İlhan, S. (2024). A Study On Maximal Embedding Dimension Numerical Semigroups. International Journal of Pure and Applied Sciences, 10(1), 303-308. https://doi.org/10.29132/ijpas.1456138
AMA
1.İlhan S. A Study On Maximal Embedding Dimension Numerical Semigroups. International Journal of Pure and Applied Sciences. 2024;10(1):303-308. doi:10.29132/ijpas.1456138
Chicago
İlhan, Sedat. 2024. “A Study On Maximal Embedding Dimension Numerical Semigroups”. International Journal of Pure and Applied Sciences 10 (1): 303-8. https://doi.org/10.29132/ijpas.1456138.
EndNote
İlhan S (June 1, 2024) A Study On Maximal Embedding Dimension Numerical Semigroups. International Journal of Pure and Applied Sciences 10 1 303–308.
IEEE
[1]S. İlhan, “A Study On Maximal Embedding Dimension Numerical Semigroups”, International Journal of Pure and Applied Sciences, vol. 10, no. 1, pp. 303–308, June 2024, doi: 10.29132/ijpas.1456138.
ISNAD
İlhan, Sedat. “A Study On Maximal Embedding Dimension Numerical Semigroups”. International Journal of Pure and Applied Sciences 10/1 (June 1, 2024): 303-308. https://doi.org/10.29132/ijpas.1456138.
JAMA
1.İlhan S. A Study On Maximal Embedding Dimension Numerical Semigroups. International Journal of Pure and Applied Sciences. 2024;10:303–308.
MLA
İlhan, Sedat. “A Study On Maximal Embedding Dimension Numerical Semigroups”. International Journal of Pure and Applied Sciences, vol. 10, no. 1, June 2024, pp. 303-8, doi:10.29132/ijpas.1456138.
Vancouver
1.Sedat İlhan. A Study On Maximal Embedding Dimension Numerical Semigroups. International Journal of Pure and Applied Sciences. 2024 Jun. 1;10(1):303-8. doi:10.29132/ijpas.1456138
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