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Dergiler / International Journal of Pure and Applied Sciences / 2023 / Volume: 9 Issue: 2

Arf Numerical Semigroups with Multiplicity 8

Meral Süer(BATMAN ÜNİVERSİTESİ)0000-0002-5512-4305
Halil Karakaş(BAŞKENT ÜNİVERSİTESİ)0000-0003-1185-416X
Sedat İlhan(DİCLE ÜNİVERSİTESİ)0000-0002-6608-8848
Sayfa
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Yayın Tarihi
2023-12-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we present a description of Arf numerical semigroups with multiplicity eight and given conductor.
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Temel Bulgular & Veri:In this study, we present a description of Arf numerical semigroups with multiplicity eight and given conductor.
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Sonuç & Katkı:In this study, we present a description of Arf numerical semigroups with multiplicity eight and given conductor.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Arf numerical semigroups · conductor · embedding dimension

Abstract

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

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Bu Makaleye Atıf Yap

Süer, M., Karakaş, H., İlhan, S. (2023). Arf Numerical Semigroups with Multiplicity 8. International Journal of Pure and Applied Sciences, Volume: 9 Issue: 2. https://doi.org/10.29132/ijpas.1324404

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Kaynakça (8)

  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.