SavedAdd your journal

Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 12 Sayı: 1

On Telescopic Numerical Semigroup Families With Embedding Dimension 3

Meral Süer(BATMAN ÜNİVERSİTESİ, FEN EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ)
Sedat İlhan(DİCLE ÜNİVERSİTESİ, FEN FAKÜLTESİ, MATEMATİK BÖLÜMÜ)
Pages
457–462
Publication Date
2019-03-24
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, some invariants of these families will be calculated in term of their generators

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the set of all telescopic numerical semigroups families with embedding dimension three will be obtained for some fixed multiplicity by some parameters.
📊
Key Findings & Data:In this study, the set of all telescopic numerical semigroups families with embedding dimension three will be obtained for some fixed multiplicity by some parameters.
💡
Conclusion & Impact:Also, some invariants of these families will be calculated in term of their generators
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Sayısal yarıgruplar · Frobenius sayısı · Numerical semigroups

Abstract

In this study, the set of all telescopic numerical semigroups families with embedding dimension three will be obtained for some fixed multiplicity by some parameters. Also, some invariants of these families will be calculated in term of their generators

Özet

Bu çalışmada, bazı parametreli belirli katlılıkla elde gömme boyutu üç olan tüm teleskopik sayısal yarı grup ailelerini elde edeceğiz. Ayrıca bu ailelerin bazı değişmezlerini onların üreteçleri yardımı ile hesaplayacağız.

🔖

Cite This Article

Süer, M. (2019). On Telescopic Numerical Semigroup Families With Embedding Dimension 3. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 12 Sayı: 1, 457–462. https://doi.org/10.18185/erzifbed.493301

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (8)

  1. Garcia-Sanchez P.A., Heredıa B.A., Leamer M.J. 2016. “Apery sets and Feng-Rao numbers over telescopic numerical semigroups”. https://arxiv.org/abs/1603.09301 (Retrieved: April 2016).
  2. Ilhan S. 2006. “On a Class of Telescopic Numerical Semigroups”, Int. J. Contemp. Math. Sci., 1(2): 81-83.
  3. Ilhan S., Herzinger K. 2009. “On Principal Ideals of Triply-Generated Telescopic Numerical Semigroups”, General Mathematics, 17(1): 39-47.
  4. Johnson S.M. 1960. “A linear Diophantine problem”, Canad. J. Math., 12 (1960): 390-398.
  5. Kirfel C., Pellikaan R. 1995. “The minimum distance of codes in an array coming from telescopic semigroups”, IEEE Transactions Information Theory, 41(1995): 1720-1732.
  6. Matthews G.L. 2001. “On Triply-Generated telescopic semigroups and chains of semigroups”, Congressus Numerantium, 154: 117-123.
  7. Rosales J.C., Branco M.B. 2003. “Irreducible numerical semigroups”, Pacific J. Math.,209: 131-143.
  8. Sylvester J.J. 1884. “Mathematichal questions with their solutions”, Educational Times, 41: 21.