Sergey V. Sudoplatov
Published 2025-02-05Version 1
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 describe these properties for classes of $\omega$-categorical theories and structures, Ehrenfeucht theories and their models, strongly minimal, $\omega_1$-theories, and stable ones.
Closures and generating sets related to combinations of structures
Preservation of superamalgamation by expansions
Transfer principles for forking and dividing in expansions of pure short exact sequences of Abelian groups
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