Almost cohomology of finite-dimensional Lie rings

Fuente: arXiv
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Auteur principal: Invitti, Moreno
Format: Preprint
Publié: 2026
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author Invitti, Moreno
author_facet Invitti, Moreno
contents 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. Moreover, we prove that the 1st almost cohomology group of a finite-dimensional definable Lie ring module is finite if the 0th almost cohomology group is finite.
format Preprint
id arxiv_https___arxiv_org_abs_2602_20626
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Almost cohomology of finite-dimensional Lie rings
Invitti, Moreno
Logic
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. Moreover, we prove that the 1st almost cohomology group of a finite-dimensional definable Lie ring module is finite if the 0th almost cohomology group is finite.
title Almost cohomology of finite-dimensional Lie rings
topic Logic
url https://arxiv.org/abs/2602.20626