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.
Abstract
In this study, we present a description of Arf numerical semigroups with multiplicity eight and given conductor.
Keywords
Arf numerical semigroups conductor embedding dimension Frobenius number multiplicity Numerical semigroups
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.
Details
| Primary Language | English |
|---|---|
| Subjects | Numerical Methods in Mechanical Engineering |
| Journal Section | Research Article |
| Authors | |
| Project Number | TÜBİTAK 3001-118F175 |
| Submission Date | July 11, 2023 |
| Acceptance Date | November 23, 2023 |
| Early Pub Date | December 29, 2023 |
| Publication Date | December 31, 2023 |
| DOI | https://doi.org/10.29132/ijpas.1324404 |
| IZ | https://izlik.org/JA97EF66PG |
| Published in Issue | Year 2023 Volume: 9 Issue: 2 |