7 citations · 8 across the 9 of their papers we have counts for
16 papers · 1 filter
Kinds of preservations for properties
Temurboy E. Rajabov, Sergey V. Sudoplatov
We study possibilities of preservations for properties, their links and related connections between semantic and syntactic ones, both in general and as characterizations for subalg…
Expansions and restrictions of structures and theories, their hierarchies
Sergey V. Sudoplatov
We introduce and study some general principles and hierarchical properties of expansions and restrictions of structures and their theories The general approach is applied to descri…
Variations of rigidity
Sergey V. Sudoplatov
We study possibilities for semantic and syntactic rigidity, i.e., the rigidity with respect to automorphism group and with respect to definable closure. Variations of rigidity and…
Algebraic closures and their variations
Sergey V. Sudoplatov
We study possibilities for algebraic closures, differences between definable and algebraic closures in first-order structures, and variations of these closures with respect to the…
Formulas and properties
Sergey V. Sudoplatov
We study links between first-order formulas and arbitrary properties for families of theories, classes of structures and their isomorphism types. Possibilities for ranks and degree…
Definable families of theories, related calculi and ranks
Nurlan Markhabatov, Sergey Sudoplatov
We consider sentence-definable and diagram-definable subfamilies of given families of theories, calculi for these subfamilies, as well dynamics and characteristics of these subfami…