TY - JOUR T1 - On Telescopic Numerical Semigroup Families With Embedding Dimension 3 TT - Gömme Boyutu 3 Olan Teleskopik Sayısal Yarıgrup Aileleri Üzerine AU - Süer, Meral AU - İlhan, Sedat PY - 2019 DA - March DO - 10.18185/erzifbed.493301 JF - Erzincan University Journal of Science and Technology PB - Erzincan Binali Yildirim University WT - DergiPark SN - 2149-4584 SP - 457 EP - 462 VL - 12 IS - 1 LA - en AB - In this study, the set of alltelescopic numerical semigroups families with embedding dimension three will beobtained for some fixed multiplicity by some parameters. Also, some invariantsof these families will be calculated in term of their generators KW - Numerical semigroups KW - Frobenius number N2 - 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. CR - 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). CR - Ilhan S. 2006. “On a Class of Telescopic Numerical Semigroups”, Int. J. Contemp. Math. Sci., 1(2): 81-83. CR - Ilhan S., Herzinger K. 2009. “On Principal Ideals of Triply-Generated Telescopic Numerical Semigroups”, General Mathematics, 17(1): 39-47. CR - Johnson S.M. 1960. “A linear Diophantine problem”, Canad. J. Math., 12 (1960): 390-398. CR - 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. CR - Matthews G.L. 2001. “On Triply-Generated telescopic semigroups and chains of semigroups”, Congressus Numerantium, 154: 117-123. CR - Rosales J.C., Branco M.B. 2003. “Irreducible numerical semigroups”, Pacific J. Math. ,209: 131-143. CR - Sylvester J.J. 1884. “Mathematichal questions with their solutions”, Educational Times, 41: 21. UR - https://doi.org/10.18185/erzifbed.493301 L1 - https://dergipark.org.tr/en/download/article-file/677658 ER -