3 papers
math.LO2025
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…
math.LO2025
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…
math.GR2024
Spherically orderable groups
Sergey V. Sudoplatov
We introduce and study the class of spherically ordered groups. The notions of spherically ordered groups and their spectra of spherical orderability are introduced. Values of thes…