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Dergiler / International Journal of Pure and Applied Sciences / 2026 / Volume: 10 Issue: 1

A Study On Maximal Embedding Dimension Numerical Semigroups

Sedat İlhan(DİCLE ÜNİVERSİTESİ)0000-0002-6608-8848
Sayfa
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Yayın Tarihi
2024-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this article, it is examine some the numerical semigroups W and W/2 such that W= and W/2= where p < q and p, q are odd natural numbers.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article, it is examine some the numerical semigroups W and W/2 such that W= and W/2= where p < q and p, q are odd natural numbers.
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Temel Bulgular & Veri:In this article, it is examine some the numerical semigroups W and W/2 such that W= and W/2= where p < q and p, q are odd natural numbers.
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Sonuç & Katkı:In this article, it is examine some the numerical semigroups W and W/2 such that W= and W/2= where p < q and p, q are odd natural numbers.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Pseudo Symmetric · symmetric · numerical semigroup

Abstract

In this article, it is examine some the numerical semigroups W and W/2 such that W= and W/2= where p < q and p, q are odd natural numbers.

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Bu Makaleye Atıf Yap

İlhan, S. (2024). A Study On Maximal Embedding Dimension Numerical Semigroups. International Journal of Pure and Applied Sciences, Volume: 10 Issue: 1. https://doi.org/10.29132/ijpas.1456138

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Kaynakça (12)

  1. Barucci, V., Dobbs, D. E. and Fontana, M. (1997). Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains, Mem. Amer. Math. Soc. 125, no. 598.
  2. Rosales, J. C. and Garcia-Sanchez, P. A. (2005).Pseudo-symmetric numerical semigroups with three generators, Journal of Algebra, 291(1), 46-54.
  3. Rosales, J. C. (1996). On symmetric numerical semigroups. J. Algebra, 182(2), 422–434.
  4. Rosales, J.C. and Garcia-Sanchez, P.A. (2008). Every numerical semigroup is one half of a symmetric numerical semigroup, Proc. Amer. Math. Soc., 136, 475-477.
  5. Süer, M. and Çelik, Ö. (2022). On Delta Sets of Some Pseudo-Symmetric Numerical Semigroups with Embedding Dimension Three, Bitlis Eren University Journal of Science, 3(1), 335-343.
  6. Froberg, R., Gotlieb, C. and Haggkvist, R. (1987). On numerical semigroups, Semigroup Forum, 35, 63-68.
  7. Harold J. S., Fractions of Numerical Semigroups. (2010). University of Tennessee, Doctoral Dis-sertations.
  8. Assi, A. and Garcia-Sanchez, P. A. (2016). Numerical Semigroups and Applications, Springer: Cham, Switzerland.
  9. Çelik, A. (2023). A note on the some class of symmetric numerical semigroups, Adıyaman Uni-versity Journal of Science, 13(1-2), 18-27.
  10. Çelik, A. (2023). On Arf Closure Of Some Symmetrıc Numerıcal Semıgroups With Multıplıcıty P-Prıme, JP Journal of Algebra, Number Theory and Applications, 62(2), 109-122.
  11. Rosales, J. C. and Garcia-Sanchez, P. A. (2005).Pseudo-symmetric numerical semigroups with three generators, Journal of Algebra, 291(1), 46-54.
  12. Rosales, J.C. and Garcia-Sanchez, P.A. (2008). Every numerical semigroup is one half of a symmetric numerical semigroup, Proc. Amer. Math. Soc., 136, 475-477.