We give an alternative proof, valid in all characteristics, of a result of Lascar characterising the bounded automorphisms of an algebraically closed field. We generalise this method to various fields equipped with operators.
Publié le : 2017-07-04
Classification:
Fields with operators.,
Automorphism Group,
Model Theory,
03C45, 12H05,
[MATH.MATH-LO]Mathematics [math]/Logic [math.LO],
[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
@article{hal-01184645,
author = {Blossier, Thomas and Hardouin, Charlotte and Martin-Pizarro, Amador},
title = {Sur les automorphismes born\'es de corps munis d'op\'erateurs},
journal = {HAL},
volume = {2017},
number = {0},
year = {2017},
language = {fr},
url = {http://dml.mathdoc.fr/item/hal-01184645}
}
Blossier, Thomas; Hardouin, Charlotte; Martin-Pizarro, Amador. Sur les automorphismes bornés de corps munis d'opérateurs. HAL, Tome 2017 (2017) no. 0, . http://gdmltest.u-ga.fr/item/hal-01184645/