We study algebraic and model-theoretic properties of existentially closed fields with an
action of a fixed finite group. Such fields turn out to be pseudo-algebraically closed in a …

We prove that the class of partial differential fields of characteristic zero with an
automorphism has a model companion. We then establish the basic model theoretic …

arXiv:1404.7475v3 [math.LO] 25 Nov 2015 Page 1 arXiv:1404.7475v3 [math.LO] 25 Nov 2015
EXISTENTIALLY CLOSED FIELDS WITH G-DERIVATIONS DANIEL HOFFMANN† AND …

We study integrating (that is expanding to a Hasse–Schmidt derivation) derivations, and
more generally truncated Hasse–Schmidt derivations, satisfying iterativity conditions given …

For a group G, we define the notion of a G‐kernel and show that the properties of G‐kernels
are closely related with the existence of a model companion of the theory of Galois actions of …

Geometric axioms for differentially closed fields with several commuting derivations Page 1
Journal of Algebra 362 (2012) 107–116 Contents lists available at SciVerse ScienceDirect …

We show that the theory of Galois actions of a torsion Abelian group A is companionable if
and only if, for each prime p, the p-primary part of A is either finite or it coincides with the …

In this thesis three topics on the model theory of partial differential fields are considered: the
generalized Galois theory for partial differential fields, geometric axioms for the theory of …

Model Theory of Fields With Operators-a Survey. Page 107 Zoé Chatzidakis Model Theory of
Fields With Operators–a Survey For Jouko, on the occasion of his 60th birthday Abstract: This …

arXiv:1601.04211v2 [math.LO] 19 Jul 2017 Page 1 arXiv:1601.04211v2 [math.LO] 19 Jul 2017
ALGEBRO-GEOMETRIC AXIOMS FOR DCF0,m OMAR LEÓN SÁNCHEZ Abstract. We give an …