Research Article

Arf Numerical Semigroups with Multiplicity 8

Volume: 9 Number: 2 December 31, 2023
EN

Arf Numerical Semigroups with Multiplicity 8

Abstract

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

Keywords

Supporting Institution

TÜBİTAK

Project Number

TÜBİTAK 3001-118F175

Thanks

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

References

  1. Arf, C. (1949). Une interprétation algébrique de la suite des ordres de multiplicitéd’une branche algebrique. Proc. London Math. Soc., 50(2), 256–287.
  2. 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.
  3. Çelik A. (2022). On Saturated Numerical Semigroups with Multiplicity p Prime Numbers. Bitlis Eren University Journal of Science, 11(3), 893-901.
  4. Fröberg, R., Gottlieb, C. and Ha ̈ggkvist, R. (1987). On numerical semigroups, Semigroup Forum, 35, 63–83.
  5. 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.
  6. İlhan, S. and Süer, M. (2017) On the saturated numerical semigroups. Open Mathematics, 14(2), 827–831.
  7. Rosales, J.C. (2005). Numerical semigroups with multiplicity three and four. Semigroup Forum, 71, 323–331.
  8. Rosales, J.C. and García -Sánchez, P.A. (2009). Numerical semigroups. New York: Springer.

Details

Primary Language

English

Subjects

Numerical Methods in Mechanical Engineering

Journal Section

Research Article

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 Volume: 9 Number: 2

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
1.Süer M, Karakaş H, İlhan S. Arf Numerical Semigroups with Multiplicity 8. International Journal of Pure and Applied Sciences. 2023;9(2):393-401. doi:10.29132/ijpas.1324404
Chicago
Süer, Meral, Halil Karakaş, and Sedat İlhan. 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.
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
[1]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, Dec. 2023, doi: 10.29132/ijpas.1324404.
ISNAD
Süer, Meral - Karakaş, Halil - İlhan, Sedat. “Arf Numerical Semigroups With Multiplicity 8”. International Journal of Pure and Applied Sciences 9/2 (December 1, 2023): 393-401. https://doi.org/10.29132/ijpas.1324404.
JAMA
1.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, Dec. 2023, pp. 393-01, doi:10.29132/ijpas.1324404.
Vancouver
1.Meral Süer, Halil Karakaş, Sedat İlhan. Arf Numerical Semigroups with Multiplicity 8. International Journal of Pure and Applied Sciences. 2023 Dec. 1;9(2):393-401. doi:10.29132/ijpas.1324404

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