Pseudo-Countably-Categorical Formulas and Theories
Kulpeshov B.S. Pavlyuk I.I. Sudoplatov S.V.
April 2025Pleiades Publishing
Mathematical Notes
2025#117Issue 3442 - 457 pp.
Abstract: The concept of a pseudo-countably-categorical formula is introduced, and the syntactic and semantic possibilities of such formulas are investigated. Approximations of theories using such formulas, including pseudo-countably-categorical ordered theories, theories of Abelian groups and modules, and Ehrenfeucht theories, are studied. A description of canonical representatives of pseudo-countably-categorical ordered theories is given. The preservation and violation of pseudo-countable categoricity under expansions and restrictions of theories are considered. Countable spectra of pseudo-countably-categorical theories are described.
Abelian group , Ehrenfeucht theory , module , ordered theory , pseudo-countably-categorical formula , pseudo-countably-categorical theory
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Kazakh-British Technical University, Almaty, 050000, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Ministry of Science and Higher Education of the Republic of Kazakhstan, Almaty, 050010, Kazakhstan
Novosibirsk State Technical University, Novosibirsk, 630073, Russian Federation
Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation
Kazakh-British Technical University
Institute of Mathematics and Mathematical Modeling
Novosibirsk State Technical University
Sobolev Institute of Mathematics
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