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Öğe On telescopic numerical semigroup families with embedding dimension 3(Erzincan Üniversitesi, 2019-03-24) Süer, Meral; İlhan, SedatIn this study, the set of all telescopic numerical semigroups families with embedding dimension three is obtained for some fixed multiplicity by some parameters. Also, some invariants of these families are calculated in term of their generatorsÖğe On a family of saturated numerical semigroups with multiplicity four(TÜBİTAK, 2017-01-16) Süer, Meral; İlhan, SedatIn this study, we will give some results on Arf numerical semigroups of multiplicity four generated by {4, k, k + 1, k + 2} where k is an integer not less than 5 and k ≡ 1(mod 4).Öğe Pseudo simetrik sayısal yarıgrupların bir sınıfının boşlukları(Hacettepe Üniversitesi, 2011-06) Süer, Meral; İlhan, SedatBu c¸alıs¸mada 3 un katı olmayan ¨ s ∈ Z + ic¸in S = h3, 3 + s, 3 + 2si s¸eklindeki bir pseudosimetrik sayısal yarıgrubunun bos¸lukları, temel ve ozel bos¸lukları hakkında bazı sonuc¸lar yer almak- ¨ tadır.Öğe On triply generated telescopic semigroups with multiplicity 8 and 9(Publ House Bulgarian Acad Sci, 2020-03) Süer, Meral; İlhan, SedatÖğe On a class of Arf numerical semigroups(Fırat Üniversitesi, 2016-05) Süer, Meral; İlhan, SedatA subset S of N is called a numerical semigroup if S is closed under addition and S has element 0 and N\S is finite where N denotes the set of nonnegative integers. In this study, we are interested two subclass of maximal embedding dimension numerical semigroups, which are those semigroups having the Arf property and saturated numerical semigroups. We introduce a new class of both Arf property and saturated numerical semigroups with multiplicity four. We consider numerical semigroups minimally generated by {4, k, k+1, k+2}. Where k is an integer greater than or equal to 5 and k is congruent to 1 (modulo 4). We prove that all these semigroups are both numerical semigroups with Arf property and saturated numerical semigroup. There is not any formulas to calculate invariants as Frobenius number, gaps, n(S) and genus of S even for numerical semigroup with multiplicity four. But this invariants have been calculated by imposing some conditions on elements of the numerical semigroup S. We calculate the Frobenius number, the genus and the set of gaps of each of these numerical semigroups. Additionally, we give a relation between the set of pseudo- Frobenius numbers and the set of all fundamental gaps of these numerical semigroups.Öğe Some results on telescopic numerical semigroups(Yıldız Teknik Üniversitesi, 2017-05) Süer, Meral; İlhan, Sedat