We fix a monster model D of some stable theory and investigate substructures of D which
are existentially closed within the class of substructures equipped with an action of a fixed …

We show that if GG is a finitely generated group such that its profinite completion G ̂ G is
“far from being projective”(ie, the kernel of the universal Frattini cover of G ̂ G is not a small …

We achieve several results. First, we develop a variant of the theory of absolute Galois
groups in the context of many sorted structures. Second, we provide a method for coding …

We give algebraic conditions for a finite commutative algebra $ B $ over a field of positive
characteristic, which are equivalent to the companionability of the theory of fields with “$ B …

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 …

Let G be a finite group. We explore the model-theoretic properties of the class of differential
fields of characteristic zero in m commuting derivations equipped with a G-action by …

We introduce the notion of a coordinate k \bfk‐algebra scheme and the corresponding
notion of a BB‐operator. This class of operators includes endomorphisms and derivations of …

We study model theory of fields with actions of a fixed finite group scheme. We prove the
existence and simplicity of a model companion of the theory of such actions, which …

In this paper, we introduce an AEC framework for studying fields with commuting
automorphisms. Fields with commuting automorphisms are closely related to difference …

Corrigendum: Model theory of fields with virtually free group actions - Beyarslan - 2024 -
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