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math.LO2026

Almost cohomology of finite-dimensional Lie rings

Moreno Invitti

We introduce almost cohomology groups for Lie rings definable in finite-dimensional theory. In particular, we define the 0th and 1st almost cohomology groups of a Lie ring module.…

math.LO2025

Hyperdefinability of the Lie model for approximate subgroups

Beatrice Degasperi

Hrushovski proved the Lie model theorem in full generality with model theoretic methods. The theorem states that for every approximate group there exists a generalized definable lo…