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math.GR2025
Omega-categorical groups and rings of finite dimension
Moreno Invitti
We prove that a finite-dimensional omega-categorical group is finite-by-abelian-by-finite and that a finite-dimensional omega-categorical ring is virtually finite-by-null.
math.GR2025
Endogenies and linearization in the non-virtually connected case
Moreno Invitti
We prove a linearization theorem for pre-rings of endogenies acting on a definable abelian group of finite dimension. Observe that no assumptions on the connectivity of A are made.…
math.GR2025
Skew Braces from a model-theoretic point of view 1
Maria Ferrara, Marco Trombetti, Moreno Invitti +1
Skew braces are one of the main algebraic tools controlling the structure of a non-degenerate bijective set-theoretic solution of the Yang-Baxter equation. The aim of this paper is…