Bounded morphisms
Logic
2024-12-09 v4 Commutative Algebra
Abstract
A bounded automorphism of a field or a group with trivial approximate centre is definable. In an expansion of a field by a Pfaffian family F of additive endomorphisms such that algebraic closure in the expansion coincides with relative field-algebraic closure of the F-substructure generated, a bounded endomorphism, possibly composed with a power of the Frobenius, is a composition of endomorphisms associated with F.
Cite
@article{arxiv.1506.04162,
title = {Bounded morphisms},
author = {Frank Olaf Wagner},
journal= {arXiv preprint arXiv:1506.04162},
year = {2024}
}
Comments
College Publications. Contemporary Logic and Model Theory, In press, Landscapes in Logic