José Carlos Rosales

Catedrático (Full Professor)

Universidad de Granada

Spain

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José Carlos Rosales is a Full Professor at Universidad de Granada in Spain. His research focuses on numerical semigroups, particularly in the areas of covariety, Frobenius numbers, and the properties of r-Fibonacci sequences. Recent publications include studies on elasticities and fundamental gaps within numerical semigroups, contributing to the understanding of their arithmetic varieties.

Articles (20)

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Collaborators (4)

Ignacio Ojeda

Universidad de Extremadura

SPAIN

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Alberto Vigneron-Tenorio

profesor titular de universidad

Universidad de Cádiz

SPAIN

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Aureliano M. Robles Pérez

Profesor Titular de Universidad

Universidad de Granada

SPAIN

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Mª Angeles Moreno Frías

Profesor Titular de Universidad

Universidad de Cádiz

SPAIN

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José Carlos Rosales

Research Interests

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About

Articles (20)

The covariety of bracelet numerical semigroups with fixed Frobenius number

The Set of Numerical Semigroups with Frobenius Number Belonging to a Fixed Interval

The extended Frobenius problem for r-Fibonacci sequences shifted by r-Fibonacci numbers

Numerical Semigroups with a Given Frobenius Number and Some Fixed Gaps

On the elasticity of a numerical semigroup

Second-Level Numerical Semigroups

The Covariety of Saturated Numerical Semigroups with Fixed Frobenius Number

Arithmetic Varieties of Numerical Semigroups

Numerical Semigroups with Monotone Apéry Set and Fixed Multiplicity and Ratio

Numerical Semigroups with a Fixed Fundamental Gap

Counting the ideals with given genus of a numerical semigroup

The Extended Frobenius Problem for Fibonacci Sequences Incremented by a Fibonacci Number

Modular Frobenius pseudo-varieties

The complexity of a numerical semigroup

Counting the numerical semigroups with a specific special gap

Numerical semigroups with concentration two

Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number

On the Enumeration of the Set of Numerical Semigroups with Fixed Frobenius Number and Fixed Number of Second Kind Gaps

Numerical semigroups bounded by the translation of a plane monoid

The set of numerical semigroups of a given multiplicity and Frobenius number

Collaborators (4)

Ignacio Ojeda

Alberto Vigneron-Tenorio

Aureliano M. Robles Pérez

Mª Angeles Moreno Frías

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