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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 3

An Approach to Numerical Semigroups

Sedat İLHAN
Sayfa
411–415
Yayın Tarihi
2022-10-18
DOI
—
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We also describe some relations between Apery subsets and ideals of S.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we give some results on principal ideals of a numerical semigroup S = hs1, s2, . . . , spi for p ≥ 2, p ∈ N.
📊
Temel Bulgular & Veri:In this paper, we give some results on principal ideals of a numerical semigroup S = hs1, s2, . . . , spi for p ≥ 2, p ∈ N.
💡
Sonuç & Katkı:We also describe some relations between Apery subsets and ideals of S.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Numerical semigroup · Apery set · Ideal

Abstract

In this paper, we give some results on principal ideals of a numerical semigroup S = hs1, s2, . . . , spi for p ≥ 2, p ∈ N. We also describe some relations between Apery subsets and ideals of S.

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Bu Makaleye Atıf Yap

İLHAN, S. (2022). An Approach to Numerical Semigroups. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 3, 411–415. https://ajindex.com/articles/530653

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Kaynakça (6)

  1. Barucci, V., Dobbs, D. E. and Fontana, M. Maximality properties in numerical semigroups and applications to one-dimensional analyticalle irreducible local domains, Memoirs of The Amer. Math. Soc. 598, 13–25, 1997.
  2. Madero-Craven, M. and Herzinger, K. Apery set of numerical semigroups, Communications in Algebra 33, 3831–3838, 2005.
  3. Rosales, J. C. Numerical semigroups with Apery sets of unique expression, Journal of Algebra 226, 479–487, 2000.
  4. Rosales, J. C. and Garcia-Sanchez, P. A. Finitely Generated Commutative Monoids (Nova Science Publishers, New York, 1999).
  5. Rosales, J. C., Garcia-Sanchez, P. A. and Garcia-Garcia, J. I. Irreducible ideals of finitely generated commutative monoids, Journal of Algebra 238, 328–344, 2001.
  6. Rosales, J. C., Garcia-Sanchez, P. A., Garcia-Garcia, J. I. and Jimenez Madrid, J. A. Funda- mental gaps in numerical semigroups, Journal of Pure and Applied Algebra 189, 301–313, 2004.