Endogenies and linearization in the non-virtually connected case
Group Theory
2025-11-11 v1
Abstract
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. We also prove a similar result when one of the two pre-rings is of quasi-endomorphisms. A corollary of these results is a generalization of Zilber's Field Theorem for finite-dimensional theories.
Keywords
Cite
@article{arxiv.2511.07058,
title = {Endogenies and linearization in the non-virtually connected case},
author = {Moreno Invitti},
journal= {arXiv preprint arXiv:2511.07058},
year = {2025}
}