Christian d'Elbée

activity

20182026

most citedAxiomatic Theory of Independence Relations in Model Theory

2 citations · 7 across the 12 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.LO2021

Existentially closed models of fields with a distinguished submodule

Christian d'Elbée, Itay Kaplan, Leor Neuhauser

This paper deals with the class of existentially closed models of fields with a distinguished submodule (over a fixed subring). In the positive characteristic case, this class is e…

math.LO2021

On algebraically closed fields with a distinguished subfield

Christian d'Elbée, Itay Kaplan, Leor Neuhauser

This paper is concerned with the model-theoretic study of pairs $(K, F)$ where $K$ is an algebraically closed field and $F$ is a distinguished subfield of $K$ allowing extra structu…

math.RA2021

Cyclic and non-cyclic division algebras of finite dp-rank

Christian d'Elbée

Milliet asks the following question: given two prime numbers $p \neq = q$ , is there a division algebra of characteristic $p$ which is of dp-rank $q^{2}$ and of dimension $q^{2}$ over its…