10 citations · 20 across the 13 of their papers we have counts for
17 papers
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…
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…
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…
Simple Lie rings of Morley rank 4
Adrien Deloro, Jules Tindzogho Ntsiri
We prove the Lie ring equivalent of the Cherlin-Zilber conjecture -- in characteristic 0, for any rank and -- in characteristic not 2, 3 for rank less than or equal to 4. Both are…
On quasi-Frobenius pairs of finite Morley rank
Tuna Altinel, Luis Jaime Corredor, Adrien Deloro
We clarify quasi-Frobenius configurations of finite Morley rank. 1. We remove one assumption in an identification theorem by Zamour while simplifying the proof. 2. We show that a s…
Sym(n)- and Alt(n)-modules with an additive dimension
Luis Jaime Corredor, Adrien Deloro, Joshua Wiscons
We revisit, clarify, and generalise classical results of Dickson and (much later) Wagner on minimal Sym(n)- and Alt(n)-modules. We present a new, natural notion of 'modules with an…