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Dergiler / Bitlis Eren Üniversitesi Fen Bilimleri Dergisi / 2022 / Cilt: 11 - Sayı: 1

On Delta Sets Of Some Pseudo-Symmetric Numerical Semigroups With Embedding Dimension Three

Özkan ÇELİK
Meral SÜER
Sayfa
335–343
Yayın Tarihi
2022-10-12
DOI
—
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In this study, we will mainly express the given above invariants of a special pseudo-symmetric numerical semigroup family in terms of its generators.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Let S be a numerical semigroup.
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Temel Bulgular & Veri:The catenary degree of an element s in S is a non-negative integer used to measure the distance between factorizations of s.
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Sonuç & Katkı:In this study, we will mainly express the given above invariants of a special pseudo-symmetric numerical semigroup family in terms of its generators.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Let S be a numerical semigroup. The catenary degree of an element s in S is a non-negative integer used to measure the distance between factorizations of s. The catenary degree of the numerical semigroup S is obtained at the maximum catenary degree of its elements. The maximum catenary degree of S is attained via Betti elements of S with complex properties. The Betti elements of S can be obtained from all minimal presentations of S. A presentation for S is a system of generators of the kernel congruence of the special factorization homomorphism. A presentation is minimal if it can not be converted to another presentation, that is, any of its proper subsets is no longer a presentation. The Delta set of S is a factorization invariant measuring the complexity of sets of the factorization lengths for the elements in S. In this study, we will mainly express the given above invariants of a special pseudo-symmetric numerical semigroup family in terms of its generators.

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Bu Makaleye Atıf Yap

ÇELİK, Ö., SÜER, M. (2022). On Delta Sets Of Some Pseudo-Symmetric Numerical Semigroups With Embedding Dimension Three. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, Cilt: 11 - Sayı: 1, 335–343. https://ajindex.com/articles/466545

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Kaynakça (14)

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