Martine Picavet-L’Hermitte

collaborators

3 papers

math.AC2026

Quasi-maximal ideals and ring extensions

Gabriel Picavet, Martine Picavet-L'Hermitte

Alan and al. defined and studied quasi-maximal ideals. We add a comprehensive characterization of these ideals, introducing submaximal ideals. The conductor of a finite minimal ext…

math.AC2022

Computing the closure of a support

Gabriel Picavet, Martine Picavet-L'Hermitte

When $E$ is an $R$ -module over a commutative unital ring $R$ , the Zariski closure of its support is of the form $V (O (E))$ where $O (E)$ is a unique radical…

math.AC2022

Distributive FCP extensions

Gabriel Picavet, Martine Picavet-L'Hermitte

We are dealing with extensions of commutative rings $R \subseteq S$ whose chains of the poset $[R, S]$ of their subextensions are finite ({\em i.e.} $R \subseteq S$ has the FCP proper…