Analysis of Frobenius number, gender, and embedding dimension in Coe-semigroups.
A numerical semigroup S is coated with odd elements (Coe-semigroup), if {x − 1, x + 1} ⊆ S for all odd elements x in S. In this note, we will study this kind of numerical semigroup. In particular, we are interested in the study of the Frobenius number, gender and embedding dimension of a numerical semigroup of this type.
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Branco et al. (2025) studied this question.