J. Rosales

activity

20102026

most citedAffine semigroups having a unique Betti element

24 citations · 78 across the 32 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.NT2022

The extended Frobenius problem for Lucas series incremented by a Lucas number

Aureliano M. Robles-Pérez, José Carlos Rosales

We study the extended Frobenius problem for sequences of the form ${l_{a}} \cup {l_{a} + l_{n}}_{n \in N}$ and ${l_{a} + l_{n}}_{n \in N}$ , where ${l_{n}}_{n \in N}$ is…

math.NT2022★ 2 cited

The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number

Aureliano M. Robles-Pérez, José Carlos Rosales

We study the extended Frobenius problem for sequences of the form ${f_{a} + f_{n}}_{n \in N}$ , where ${f_{n}}_{n \in N}$ is the Fibonacci sequence and $f_{a}$ is a Fibonacc…

math.NT2022★ 1 cited

On sets related to integer partitions with quasi-required elements and disallowed elements

Aureliano M. Robles-Pérez, José Carlos Rosales

Given a set A of non-negative integers and a set B of positive integers,we are interested in computing all sets C (of positive integers) that are minimal in the family of sets K (o…

math.NT2022

The complexity of a numerical semigroup

J. I. García-García, M. A. Moreno-Frías, J. C. Rosales +1

Let $S$ and $Δ$ be numerical semigroups. A numerical semigroup $S$ is an $I (Δ)$ -{\it semigroup} if $S \ {0}$ is an ideal of $Δ$ . We will denote by $\mathcal{J}(Δ…