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On Telescopic Numerical Semigroup Families With Embedding Dimension 3

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

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

References

  • 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

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

Abstract




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.


References

  • 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.
There are 8 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Makaleler
Authors

Meral Süer

Sedat İlhan This is me

Publication Date March 24, 2019
Published in Issue Year 2019

Cite

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