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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 3

Parity numerical semigroups

María Ángeles MORENO-FRİAS
José Carlos ROSALES
Pages
1067–1075
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Also, we will study the maximal P-semigroups with a given Frobenius number as well as the P-semigroups with maximum embedding dimension.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A numerical semigroup is parity (P-semigroup) if the sum of two consecutive elements of $S$ is odd.
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Key Findings & Data:In this paper we will order the P-semigroups creating a tree with root.
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Conclusion & Impact:Also, we will study the maximal P-semigroups with a given Frobenius number as well as the P-semigroups with maximum embedding dimension.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Embedding dimension · Frobenius Number · Genus

Abstract

A numerical semigroup is parity (P-semigroup) if the sum of two consecutive elements of $S$ is odd. In this paper we will order the P-semigroups creating a tree with root. This ordering allows us to give some algorithms to build all the P-semigroups with a fixed genus and Frobenius number. Also, we will study the maximal P-semigroups with a given Frobenius number as well as the P-semigroups with maximum embedding dimension.

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Cite This Article

MORENO-FRİAS, M. Á., ROSALES, J. C. (2022). Parity numerical semigroups. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 3, 1067–1075. https://ajindex.com/articles/529642

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References (5)

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