64 citations · 134 across the 33 of their papers we have counts for
43 papers
The lattice of abstract elementary classes of modules
Tapani Hyttinen, Marcos Mazari-Armida, Gianluca Paolini
Let be a ring. We organize the abstract elementary classes whose underlying class is the class of all -modules and whose strong submodel relation lies between the submodule…
The Construction Principle and superstability of free objects in varieties of algebras
Tapani Hyttinen, Gianluca Paolini, Davide Emilio Quadrellaro
We investigate the relationship between the Eklof-Mekler-Shelah Construction Principle for a variety of algebras and the question of superstability of the free objects…
On Borel subsets of generalized Baire spaces
Tapani Hyttinen, Miguel Moreno, Jouko Väänänen
We develop Descriptive Set Theory in Generalized Baire Spaces without assuming . We point out that without this assumption the basic topological concepts of these spaces…
A New Construction Principle
Tapani Hyttinen, Gianluca Paolini, Davide Emilio Quadrellaro
We use the framework of Abstract Elementary Classes (s) to introduce a new Construction Principle , which generalises the Construction P…
On the Model Theory of Second-Order Objects
Tapani Hyttinen, Joni Puljujärvi, Davide Emilio Quadrellaro
Motivated by team semantics and existential second-order logic, we develop a model-theoretic framework for studying second-order objects such as sets and relations. We introduce a…
Varieties of strictly n-generated Heyting algebras
Tapani Hyttinen, Davide Emilio Quadrellaro
For any we construct an infinite Heyting algebra which is -generated but that contains only finite -generated subalgebras. From this we conclude that for ever…