3 citations · 4 across the 4 of their papers we have counts for
7 papers
An AEC framework for fields with commuting automorphisms
Tapani Hyttinen, Kaisa Kangas
In this paper, we introduce an AEC framework for studying fields with commuting automorphisms. Fields with commuting automorphisms are closely related to difference fields. Some au…
Categoricity and Universal Classes
Tapani Hyttinen, Kaisa Kangas
Let be a universal class with categorical in regular with arbitrarily large models, and let be the class of…
On model theory of covers of algebraically closed fields
Tapani Hyttinen, Kaisa Kangas
We study covers of the multiplicative group of an algebraically closed field as quasiminimal pregeometry structures and prove that they satisfy the axioms for Zariski-like structur…
Finding a field in a Zariski-like structure
Kaisa Kangas
We show that if $\M$ is a Zariski-like structure (see \cite{lisuriart}) that does not interpret a non-classical group, and the canonical pregeometry obtained from the bounded closu…
Quasiminimal structures, groups and Zariski-like geometries
Tapani Hyttinen, Kaisa Kangas
We generalize Hrushovski's Group Configuration Theorem to quasiminimal classes. As an application, we present Zariski-like structures, a generalization of Zariski geometries, and s…
Finding groups in Zariski-like structures
Kaisa Kangas
We study quasiminimal classes, i.e. abstract elementary classes (AECs) that arise from a quasiminimal pregeometry structure. For these classes, we develop an independence notion, a…
On Second-order Characterizability
Tapani Hyttinen, Kaisa Kangas, Jouko Väänänen
We investigate the extent of second order characterizable structures by extending Shelah's Main Gap dichotomy to second order logic. For this end we consider a countable complete f…