Numerical semigroups of coated odd elements

Key Points

• This study explores the characteristics of Coe-semigroups, particularly their Frobenius number.
• Frobenius number measures the largest integer not representable in a numerical semigroup, which is crucial for understanding its structure.
• It focuses on the relationships between embedding dimension and gender within these unique semigroups.
• Insight into these aspects can enhance our understanding of numerical semigroups and their applications in number theory.