@misc{10481/110237,
year = {2026},
month = {1},
url = {https://hdl.handle.net/10481/110237},
abstract = {This work contributes to the study of radical numerical semigroups. If 𝑛� ∈ℤ where 𝑛� ≥2, then the product of all its prime positive divisors is called the radical of n. It is denoted by r⁡(𝑛�). A radical numerical semigroup is a numerical semigroup S such that 𝑠� +r⁡(𝑠�) ∈𝑆� for every 𝑠� ∈𝑆�\{0}. We present three algorithms that will help us understand the structure of radical semigroups. These algorithms allow us to calculate all radical numerical semigroups with a fixed genus, with a fixed Frobenius number, as well as with a fixed multiplicity. Furthermore, given X, a set of positive integers such that gcd⁡(𝑋�) =1, we will prove the existence of the smallest radical semigroup containing X. We will also present an algorithm to obtain it.},
publisher = {MDPI},
keywords = {Radical numerical semigroup},
keywords = {Frobenius variety},
keywords = {Frobenius pseudo-variety},
title = {Radical Numerical Semigroups},
doi = {10.3390/axioms15010036},
author = {Moreno Frías, María Ángeles and Rosales González, José Carlos},
}