Yıl 2023,
Cilt: 9 Sayı: 2, 393 - 401, 31.12.2023
Meral Süer
,
Halil Karakaş
,
Sedat İlhan
Proje Numarası
TÜBİTAK 3001-118F175
Kaynakça
- 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
Yıl 2023,
Cilt: 9 Sayı: 2, 393 - 401, 31.12.2023
Meral Süer
,
Halil Karakaş
,
Sedat İlhan
Öz
In this study, we present a description of Arf numerical semigroups with multiplicity eight and given conductor.
Destekleyen Kurum
TÜBİTAK
Proje Numarası
TÜBİTAK 3001-118F175
Teşekkür
This paper was supported by the project TÜBİTAK 3001-118F175.
Kaynakça
- 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.