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July 2, 2026Adıyaman üniversitesi fen bilimleri dergisiOpen Access

On Some Non Perfect Numerical Semigroups With Multiplicity Three

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Authors

AÇAhmet ÇELİK

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Overview

Investigates structural properties of non-perfect numerical semigroups of multiplicity three, highlighting their relations to other classes.

Key Points

  • The aim is to explore the position of non-perfect numerical semigroups with multiplicity three among other types.
  • Investigated structural properties of numerical semigroups of the form Wq
  • Analyzed properties like Frobenius number, isolated gaps, and Apery set
  • Classified these semigroups within maximal embedding dimension and Arf classes.
  • These semigroups are non-perfect and exhibit the Arf property.
  • Frobenius number and other invariants show a regular structure.
  • They are not symmetric, contributing to the classification of MED and Arf semigroups.

Cite This Study

Ahmet ÇELİK (2026) studied this question.

synapsesocial.com/papers/6a4601829ed1343031311604https://doi.org/10.37094/adyujsci.1946115
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