We also find all Arf numerical semigroups containing a given Arf numerical semigroup with small multiplicity.
📌 3 Key Takeaways
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Objective & Hypothesis:In 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.
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Key Findings & Data:We will find the specific gaps of Arf numerical semigroups with small multiplicity.
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Conclusion & Impact:We also find all Arf numerical semigroups containing a given Arf numerical semigroup with small multiplicity.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Numerical semigroups · Arf numerical semigroup · Special gaps
Abstract
In 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.
Özet
Bu çalışmada, verilen bir sayısal yarıgrubu kapsayan tüm sayısal yarıgrupların bulunması probleminde kullanılan bir sayısal yarıgrubun özel boşlukları kavramı ile ilgileniyoruz. Küçük katlılıklı Arf sayısal yarıgruplarının özel boşluklarını bulacağız. Verilen küçük katlılıklı Arf sayısal yarıgrubu kapsayan tüm Arf sayısal yarıgruplarını bulacağız.
SÜER, M., YALÇIN, B. Y. (2018). The special gaps of Arf numerical semigroups with small multiplicity. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 20 - Sayı: 2, 437–459. https://ajindex.com/articles/250964
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