3 papers
math.LO2024
Endogenies and Linearisation
Adrien Deloro, Frank O. Wagner
We show that the action of two infinite commuting invariant rings of endomorphisms of a finite-dimensional virtually connected irreducible bi-module linearizes into a vector space…
math.LO2024
Soluble Lie rings of finite Morley rank
Adrien Deloro, Jules Tindzogho Ntsiri
We do two things. 1. As a corollary to a stronger linearisation result (Theorem A), we prove the finite Morley rank version of the Lie-Kolchin-Malcev theorem on Lie algebras (Corol…
math.GR2024
On -modules with an additive dimension when
Barry Chin, Adrien Deloro, Joshua Wiscons +1
Working in the general context of "modules with an additive dimension," we complete the determination of the minimal dimension of a faithful Alt(n)-module and classify those module…