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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 The special gaps of some Arf numerical semigroups(IKSAD Publishing House, 2018-05-01) Süer, Meral; Yalçın, Burak YasinThe concept of special gap of a numerical semigroup is used to by the problem of finding the set of all numerical semigroups containining a given numerical semigroup. In this study, we will find the specific gaps of some Arf numerical semigroups families and all numerical semigroups containining them.Öğe The special gaps of Arf numerical semigroups with small multiplicity(Balıkesir Üniversitesi, 2018-12-01) Süer, Meral; Yalçın, Burak YasinIn this study, we deal with the concept of special gap of a numerical semigroup which is used to find the set of all numerical semigroups containing a given numerical semigroup. We will find the specific gaps of Arf numerical semigroups with small multiplicity. We also find all Arf numerical semigroups containing a given Arf numerical semigroup with small multiplicity.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 Betti numbers of some telescopic numerical semigroups(IKSAD Publishing House, 2018-05-01) Süer, Meral; Sezgin, Mehmet ŞirinLet be the set of nonnegative integers. A numerical semigroup is a nonempty subset M of that is closed under addition, contains the zero element, and whose complement in is finite. In this study, we will examine the Betti numbers of some telescopic numerical semigroup families with generated triply. And we will try to express in terms of generators of these numerical semigroup families. So we will find a formula for the Betti numbers of these numerical semigroup families.Öğe Delta sets of some pseudo-symmetric numerical semigroups(IKSAD Publishing House, 2018-05-01) Süer, Meral; Çelik, ÖzkanA numerical semigroup is a submonoid of , the set of nonnegative integers, under addition and with finite complement in . If the numerical semigroup is the form with an integer not divisible by tree, then is a pseudo symmetric numerical semigroup with embedding dimension and multiplicity three. We present procedures to calculate the delta of pseudo- symmetric numerical semigroups as given above. Also, we will give a relation between the betti numbers and the delta sets of these semigroups.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
