M. Picavet-L'Hermitte

activity

20152021

most citedSome more combinatorics results on Nagata extensions

10 citations · 10 across the 5 of their papers we have counts for

collaborators

Showing math.ACShow all

9 papers · 1 filter

math.AC2021

Closures and co-closures attached to FCP ring extensions

Gabriel Picavet, Martine Picavet-L'Hermitte

The paper deals with ring extensions $R \subseteq S$ and the poset $[R, S]$ of their subextensions, with a special look at FCP extensions (extensions such that $[R, S]$ is Artinian an…

math.AC2021

Splitting ring extensions

Gabriel Picavet, Martine Picavet-L'Hermitte

The paper deals with ring extensions $R \subseteq S$ and their lattices $[R, S]$ of subextensions and is mainly devoted to FCP extensions (extensions whose lattices are Artinian and…

math.AC2020

FCP Delta extensions of rings

Gabriel Picavet, Martine Picavet-L'Hermitte

We consider ring extensions whose set of all subextensions is stable under the formation of sums, the so-called Delta extensions and exhibit new examples of these extensions.

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…