On Telescopic Numerical Semigroup Families With Embedding Dimension 3

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

Anahtar Kelimeler

• Numerical semigroups,Frobenius number

Gömme Boyutu 3 Olan Teleskopik Sayısal Yarıgrup Aileleri Üzerine

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.

Anahtar Kelimeler

• Sayısal yarıgruplar,Frobenius sayısı

Kaynakça

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.