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On Telescopic Numerical Semigroup Families With Embedding Dimension 3

Yıl 2019, , 457 - 462, 24.03.2019
https://doi.org/10.18185/erzifbed.493301

Öz

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

Kaynakça

  • 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).
  • Ilhan S. 2006. “On a Class of Telescopic Numerical Semigroups”, Int. J. Contemp. Math. Sci., 1(2): 81-83.
  • Ilhan S., Herzinger K. 2009. “On Principal Ideals of Triply-Generated Telescopic Numerical Semigroups”, General Mathematics, 17(1): 39-47.
  • Johnson S.M. 1960. “A linear Diophantine problem”, Canad. J. Math., 12 (1960): 390-398.
  • 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.
  • Matthews G.L. 2001. “On Triply-Generated telescopic semigroups and chains of semigroups”, Congressus Numerantium, 154: 117-123.
  • Rosales J.C., Branco M.B. 2003. “Irreducible numerical semigroups”, Pacific J. Math. ,209: 131-143.
  • Sylvester J.J. 1884. “Mathematichal questions with their solutions”, Educational Times, 41: 21.

Gömme Boyutu 3 Olan Teleskopik Sayısal Yarıgrup Aileleri Üzerine

Yıl 2019, , 457 - 462, 24.03.2019
https://doi.org/10.18185/erzifbed.493301

Öz




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.


Kaynakça

  • 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).
  • Ilhan S. 2006. “On a Class of Telescopic Numerical Semigroups”, Int. J. Contemp. Math. Sci., 1(2): 81-83.
  • Ilhan S., Herzinger K. 2009. “On Principal Ideals of Triply-Generated Telescopic Numerical Semigroups”, General Mathematics, 17(1): 39-47.
  • Johnson S.M. 1960. “A linear Diophantine problem”, Canad. J. Math., 12 (1960): 390-398.
  • 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.
  • Matthews G.L. 2001. “On Triply-Generated telescopic semigroups and chains of semigroups”, Congressus Numerantium, 154: 117-123.
  • Rosales J.C., Branco M.B. 2003. “Irreducible numerical semigroups”, Pacific J. Math. ,209: 131-143.
  • Sylvester J.J. 1884. “Mathematichal questions with their solutions”, Educational Times, 41: 21.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Meral Süer

Sedat İlhan Bu kişi benim

Yayımlanma Tarihi 24 Mart 2019
Yayımlandığı Sayı Yıl 2019

Kaynak Göster

APA Süer, M., & İlhan, S. (2019). On Telescopic Numerical Semigroup Families With Embedding Dimension 3. Erzincan University Journal of Science and Technology, 12(1), 457-462. https://doi.org/10.18185/erzifbed.493301