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math.AC2023
The covariety of perfect numerical semigroups with fixed Frobenius number
M. A. Moreno-Frías, J. C. Rosales
Let be a numerical semigroup. We will say that is an {\it isolated gap }of if A numerical semigroup without isola…
math.AC2023★ 1 cited
The covariety of saturated numerical semigroups with fixed Frobenius number
M. A. Moreno-Frías, J. C. Rosales
In this work we will show that if is a positive integer, then ${\mathrm{Sat}}(F)=\{S\mid S \mbox{ is a saturated numerical semigroup with Frobenius number } F\}$ is a covariety…
math.AC2023
The set of Arf numerical semigroups with given Frobenius number
M. A. Moreno-Frías, J. C. Rosales
In this work we will show that if is a positive integer, then the set ${\mathrm{Arf}}(F)=\{S\mid S \mbox{ is an Arf numerical semigroup with Frobenius number } F\}$ verifies th…