Gabriel Picavet

activity

20132026

most citedSome more combinatorics results on Nagata extensions

10 citations · 18 across the 13 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AC2019

Catenarian FCP ring extensions

Gabriel Picavet, Martine Picavet-L'Hermitte

If $R \subseteq S$ is a ring extension of commutative unital rings, the poset $[R, S]$ of $R$ -subalgebras of $S$ is called catenarian if it verifies the Jordan-Hölder property. This…

math.AC2019

The Loewy series of an FCP (distributive) ring extension

Gabriel Picavet, Martine Picavet-L'Hermitte

We examine the Loewy series associated to the lattice of subalgebras of an extension of commutative rings.

math.AC2019

Boolean FIP ring extensions

Gabriel Picavet, Martine Picavet-L'Hermitte

We characterize extensions of commutative rings $R \subseteq S$ whose sets of subextensions $[R, S]$ are finite ({\it i.e.} $R \subseteq S$ has the FIP property) and are Boolean latt…