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On Saturated Numerical Semigroups with Multiplicity p Prime Numbers

Year 2022, , 893 - 901, 30.09.2022
https://doi.org/10.17798/bitlisfen.1137179

Abstract

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

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, , 893 - 901, 30.09.2022
https://doi.org/10.17798/bitlisfen.1137179

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

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.

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