Journals / Fırat Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2004 / Cilt: 16 - Sayı: 1

On a class of symmetric numerical semigroups with arbitrary multiplicity, and embedding dimension equal to 3

Keyfi katlılıklı ve gömme boyutu 3 olan simetrik sayısal yarıgrupların bir sınıfı üzerine

Pages
127–130
Publication Date
2022-10-17
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This study contains a class of Symmetric numerical semigroups S with arbitrary multiplicity m(S) = m and $mu( S )$= 3, such that U = {2q + 3, 2q + 4 , $2q^2$+5q + 2 } where m = 2q + 3 and $qgeq 1$ , $q in Z$ .

📌 3 Key Takeaways

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Objective & Hypothesis:This study contains a class of Symmetric numerical semigroups S with arbitrary multiplicity m(S) = m and $mu( S )$= 3, such that U = {2q + 3, 2q + 4 , $2q^2$+5q + 2 } where m = 2q + 3 and $qgeq 1$ , $q in Z$ .
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Key Findings & Data:This study contains a class of Symmetric numerical semigroups S with arbitrary multiplicity m(S) = m and $mu( S )$= 3, such that U = {2q + 3, 2q + 4 , $2q^2$+5q + 2 } where m = 2q + 3 and $qgeq 1$ , $q in Z$ .
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Conclusion & Impact:This study contains a class of Symmetric numerical semigroups S with arbitrary multiplicity m(S) = m and $mu( S )$= 3, such that U = {2q + 3, 2q + 4 , $2q^2$+5q + 2 } where m = 2q + 3 and $qgeq 1$ , $q in Z$ .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This study contains a class of Symmetric numerical semigroups S with arbitrary multiplicity m(S) = m and $mu( S )$= 3, such that U = {2q + 3, 2q + 4 , $2q^2$+5q + 2 } where m = 2q + 3 and $qgeq 1$ , $q in Z$ .

Özet

Bu çalışmada $qgeq 1$ , $q in Z$ olmak üzere, m = 2q + 3 şeklindeki sayılar olmak üzere, gömme boyutu $mu( S )$ = 3 , katlılığı m ( S )= m olan veU={2q + 3, 2q + 4 , $2q^2$ +5q + 2} ile üretilen S simetrik sayısal yarıgrupların sınıfı tanımlanmakta ve bu sınıfta elde edilen sonuçlar yer almaktadır.

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Cite This Article

İLHAN, S. (2022). On a class of symmetric numerical semigroups with arbitrary multiplicity, and embedding dimension equal to 3. Fırat Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 16 - Sayı: 1, 127–130. https://ajindex.com/articles/513665

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References (4)

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  4. J.C. Rosales and M.B.Branco, Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups,.Journal of Pure and Applied Algebra, 171, 303-314, 2002.