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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…