Research Article
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Year 2023, , 393 - 401, 31.12.2023
https://doi.org/10.29132/ijpas.1324404

Abstract

Project Number

TÜBİTAK 3001-118F175

References

  • Arf, C. (1949). Une interprétation algébrique de la suite des ordres de multiplicitéd’une branche algebrique. Proc. London Math. Soc., 50(2), 256–287.
  • Barucci, V., Dobbs, D.E. and Fontana, M. (1997) Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains. Memoirs of the Amer. Math. Soc., 125(598), 78 pp.
  • Çelik A. (2022). On Saturated Numerical Semigroups with Multiplicity p Prime Numbers. Bitlis Eren University Journal of Science, 11(3), 893-901.
  • Fröberg, R., Gottlieb, C. and Ha ̈ggkvist, R. (1987). On numerical semigroups, Semigroup Forum, 35, 63–83.
  • García -Sánchez, P.A., Heredia, B.A., Karakaş, H.İ. and Rosales, J.C. (2017). Parametrizing Arf numerical semigroups. J. Algebra Appl., 16(11), 31 pp.
  • İlhan, S. and Süer, M. (2017) On the saturated numerical semigroups. Open Mathematics, 14(2), 827–831.
  • Rosales, J.C. (2005). Numerical semigroups with multiplicity three and four. Semigroup Forum, 71, 323–331.
  • Rosales, J.C. and García -Sánchez, P.A. (2009). Numerical semigroups. New York: Springer.

Arf Numerical Semigroups with Multiplicity 8

Year 2023, , 393 - 401, 31.12.2023
https://doi.org/10.29132/ijpas.1324404

Abstract

In this study, we present a description of Arf numerical semigroups with multiplicity eight and given conductor.

Supporting Institution

TÜBİTAK

Project Number

TÜBİTAK 3001-118F175

Thanks

This paper was supported by the project TÜBİTAK 3001-118F175.

References

  • Arf, C. (1949). Une interprétation algébrique de la suite des ordres de multiplicitéd’une branche algebrique. Proc. London Math. Soc., 50(2), 256–287.
  • Barucci, V., Dobbs, D.E. and Fontana, M. (1997) Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains. Memoirs of the Amer. Math. Soc., 125(598), 78 pp.
  • Çelik A. (2022). On Saturated Numerical Semigroups with Multiplicity p Prime Numbers. Bitlis Eren University Journal of Science, 11(3), 893-901.
  • Fröberg, R., Gottlieb, C. and Ha ̈ggkvist, R. (1987). On numerical semigroups, Semigroup Forum, 35, 63–83.
  • García -Sánchez, P.A., Heredia, B.A., Karakaş, H.İ. and Rosales, J.C. (2017). Parametrizing Arf numerical semigroups. J. Algebra Appl., 16(11), 31 pp.
  • İlhan, S. and Süer, M. (2017) On the saturated numerical semigroups. Open Mathematics, 14(2), 827–831.
  • Rosales, J.C. (2005). Numerical semigroups with multiplicity three and four. Semigroup Forum, 71, 323–331.
  • Rosales, J.C. and García -Sánchez, P.A. (2009). Numerical semigroups. New York: Springer.
There are 8 citations in total.

Details

Primary Language English
Subjects Numerical Methods in Mechanical Engineering
Journal Section Articles
Authors

Meral Süer 0000-0002-5512-4305

Halil Karakaş 0000-0003-1185-416X

Sedat İlhan 0000-0002-6608-8848

Project Number TÜBİTAK 3001-118F175
Early Pub Date December 29, 2023
Publication Date December 31, 2023
Submission Date July 11, 2023
Acceptance Date November 23, 2023
Published in Issue Year 2023

Cite

APA Süer, M., Karakaş, H., & İlhan, S. (2023). Arf Numerical Semigroups with Multiplicity 8. International Journal of Pure and Applied Sciences, 9(2), 393-401. https://doi.org/10.29132/ijpas.1324404
AMA Süer M, Karakaş H, İlhan S. Arf Numerical Semigroups with Multiplicity 8. International Journal of Pure and Applied Sciences. December 2023;9(2):393-401. doi:10.29132/ijpas.1324404
Chicago Süer, Meral, Halil Karakaş, and Sedat İlhan. “Arf Numerical Semigroups With Multiplicity 8”. International Journal of Pure and Applied Sciences 9, no. 2 (December 2023): 393-401. https://doi.org/10.29132/ijpas.1324404.
EndNote Süer M, Karakaş H, İlhan S (December 1, 2023) Arf Numerical Semigroups with Multiplicity 8. International Journal of Pure and Applied Sciences 9 2 393–401.
IEEE M. Süer, H. Karakaş, and S. İlhan, “Arf Numerical Semigroups with Multiplicity 8”, International Journal of Pure and Applied Sciences, vol. 9, no. 2, pp. 393–401, 2023, doi: 10.29132/ijpas.1324404.
ISNAD Süer, Meral et al. “Arf Numerical Semigroups With Multiplicity 8”. International Journal of Pure and Applied Sciences 9/2 (December 2023), 393-401. https://doi.org/10.29132/ijpas.1324404.
JAMA Süer M, Karakaş H, İlhan S. Arf Numerical Semigroups with Multiplicity 8. International Journal of Pure and Applied Sciences. 2023;9:393–401.
MLA Süer, Meral et al. “Arf Numerical Semigroups With Multiplicity 8”. International Journal of Pure and Applied Sciences, vol. 9, no. 2, 2023, pp. 393-01, doi:10.29132/ijpas.1324404.
Vancouver Süer M, Karakaş H, İlhan S. Arf Numerical Semigroups with Multiplicity 8. International Journal of Pure and Applied Sciences. 2023;9(2):393-401.

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