Francesc Planas-Vilanova

collaborators

4 papers

math.AC2026

Explicit minimal generating sets of a family of prime ideals with unbounded minimal number of generators in a three-dimensional power series ring

Laura GonzÃ¡lez, Francesc Planas-Vilanova

We display a new family of prime ideals with unbounded minimal number of generators in a three-dimensional power series ring over a field of characteristic zero. These primes are o…

math.CO2026

Binomial determinants: some closed formulae

Laura GonzÃ¡lez, Francesc Planas-Vilanova

This paper is intended to give closed formulae for binomial determinants with consecutive or almost consecutive rows or columns, as well as calculating the generator of left nullsp…

math.AC2026

Prime ideals of Moh and the characteristic of the field

Laura GonzÃ¡lez, Francesc Planas-Vilanova

We reprove and generalize a result of Moh which gives a lower bound on the minimal number of generators of an ideal in a power series ring in three variables x,y,z over a field k.…

math.AC2025

Sifted degrees of the equations of the Rees module and their connection with the Artin-Rees numbers

Philippe Gimenez, Francesc Planas-Vilanova

Let $A$ be a noetherian ring, $I$ an ideal of $A$ and $N \subset M$ finitely generated $A$ -modules. The relation type of $I$ with respect to $M$ , denoted by $rt (I; M)$ , is th…