I. Ojeda

activity

20152026

most citedArithmetic varieties of numerical semigroups

1 citations · 2 across the 7 of their papers we have counts for

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math.AC2026

On the smallest numerical semigroups closed under affine maps

Amelia Álvarez, Carlos-Jesús Moreno-Ávila, Ignacio Ojeda

We study numerical semigroups $S_{a, b} (m)$ generated by the orbit of $m$ under the affine map $T_{a, b} (z) = a z + b$ , where $a \geq 2$ , $m > 1$ , $g cd (b, m) = 1$ , and $b \geq - (a - 2) m - 2$ . This ex…

math.AC2026

On Numerical Semigroups with Fixed Quotient

Ignacio Ojeda, José Carlos Rosales

Let $Δ$ be a numerical semigroup and let $d \geq 2$ be an integer. We study the fiber of the quotient map $S\mapsto S/d$ over $Δ$ . We describe its elements as semigroups of the for…

math.CA2026

On the rational solutions of generalized Abel equations

L. A. Calderon, I. Ojeda

We study the nonconstant rational solutions of generalized Abel equations \[ x'=\sum_{i=1}^s A_i(t)x^{n_i},\qquad s\geq3,\qquad 1\leq n_1<\cdots<n_s, \] with polynomial coefficient…

math.AC2026

A semigroup-theoretic linkage theory for relative ideals: principal and canonical links

Ignacio Ojeda

We develop a semigroup-theoretic analogue of liaison for relative ideals of a numerical semigroup. Two parallel linkage notions are proposed: a theory based on translates of the se…