Research Article
BibTex RIS Cite

On Saturated Numerical Semigroups with Multiplicity p Prime Numbers

Year 2022, Volume: 11 Issue: 3, 893 - 901, 30.09.2022

Ahmet Çelik

https://doi.org/10.17798/bitlisfen.1137179
Cited By: 1

Abstract

In this paper, we will give some results for saturated numerical semigroups with multiplicity p prime number and conductor n where p<10 .

Keywords

saturated numerical semigroup isole gaps perfect pseudo-frobenius number

Project Number

yok

References

  • [1] R. Froberg, C. Gotlieb and R. Haggkvist, On numerical semigroups, Semigroup Forum, 35:63-68, 1987.
  • [2] S. İlhan and H.İ. Karakaş, Arf numerical semigroups. Turkish Journal of Mathematics,41: 1448-1457, 2017.
  • [3] J.C .Rosales, P.A.García-Sánchez, J.I.García-García and M.B. Branco,Numerical semigroups with maximal embedding dimension. Int. J. Commut. Rings 2: 47–53,2003.
  • [4] J.C.Rosales, PA, García-Sánchez, J.I.García-García, M.B.Branco. Arf numerical semigroups, J. Algebra 276: 3–12,2004
  • [5] J.C. Rosales and P.A .Garcia-Sanchez ,Numerical semigroups, New York: Springer 181, 2009..
  • [6] A.Assi and P.A .Garcia-Sanchez. Numerıcal semigroups and applıcatıons, https://hal.archives-ouvertes.fr/hal-01085760, pp 47,2014.
  • [7] A.Çelik, Some results on saturated numerical semigroups, Doctoral thesis, Dicle University,2018.
  • [8] M.A. Moreno Frias and J.C.Rosales,Perfect numerical semigroups, Turk J Math. 43: 1742 – 1754,2019.
  • [9] J. S.Harold, On isolated gaps in numerical semigroups, Turk J.Math., 46:123 –129 ,2022 .
  • [10] S.ilhan,On a family o telescopic numerical semigroups,Acta Universitatis Apulensis, 67:13-18,2021

Year 2022, Volume: 11 Issue: 3, 893 - 901, 30.09.2022

Ahmet Çelik

https://doi.org/10.17798/bitlisfen.1137179
Cited By: 1

Abstract

Supporting Institution

yok

Project Number

yok

References

  • [1] R. Froberg, C. Gotlieb and R. Haggkvist, On numerical semigroups, Semigroup Forum, 35:63-68, 1987.
  • [2] S. İlhan and H.İ. Karakaş, Arf numerical semigroups. Turkish Journal of Mathematics,41: 1448-1457, 2017.
  • [3] J.C .Rosales, P.A.García-Sánchez, J.I.García-García and M.B. Branco,Numerical semigroups with maximal embedding dimension. Int. J. Commut. Rings 2: 47–53,2003.
  • [4] J.C.Rosales, PA, García-Sánchez, J.I.García-García, M.B.Branco. Arf numerical semigroups, J. Algebra 276: 3–12,2004
  • [5] J.C. Rosales and P.A .Garcia-Sanchez ,Numerical semigroups, New York: Springer 181, 2009..
  • [6] A.Assi and P.A .Garcia-Sanchez. Numerıcal semigroups and applıcatıons, https://hal.archives-ouvertes.fr/hal-01085760, pp 47,2014.
  • [7] A.Çelik, Some results on saturated numerical semigroups, Doctoral thesis, Dicle University,2018.
  • [8] M.A. Moreno Frias and J.C.Rosales,Perfect numerical semigroups, Turk J Math. 43: 1742 – 1754,2019.
  • [9] J. S.Harold, On isolated gaps in numerical semigroups, Turk J.Math., 46:123 –129 ,2022 .
  • [10] S.ilhan,On a family o telescopic numerical semigroups,Acta Universitatis Apulensis, 67:13-18,2021
There are 10 citations in total.

Details

Primary Language English
Journal Section Araştırma Makalesi
Authors

Ahmet Çelik 0000-0001-5980-0625

Project Number yok
Publication Date September 30, 2022
Submission Date June 28, 2022
Acceptance Date September 7, 2022
Published in Issue Year 2022 Volume: 11 Issue: 3

Cite

IEEE A. Çelik, “On Saturated Numerical Semigroups with Multiplicity p Prime Numbers”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 11, no. 3, pp. 893–901, 2022, doi: 10.17798/bitlisfen.1137179.

Cited By

Arf Numerical Semigroups with Multiplicity 8
International Journal of Pure and Applied Sciences
https://doi.org/10.29132/ijpas.1324404
 Download Cover Image

Bitlis Eren University
Journal of Science Editor
Bitlis Eren University Graduate Institute
Bes Minare Mah. Ahmet Eren Bulvari, Merkez Kampus, 13000 BITLIS