Almost quasi-Urbanik structures and theories


Kulpeshov B.S. Sudoplatov S.V.
2025E.A. Buketov Karaganda University Publish house

Bulletin of the Karaganda University. Mathematics Series
2025#117Issue 1104 - 117 pp.

The notions of almost quasi-Urbanik structures and theories, and studied possibilities for the degrees of quasi-Urbanikness, both for existential and universal cases were introduced. Links of these characteristics and their possible values are described. These values for structures of unary predicates, equivalence relations, linearly ordered, preordered and spherically ordered structures and theories as well as for strongly minimal ones, and for some natural operations including disjoint unions and compositions of structures and theories were studied. A series of examples illustrates possibilities of these characteristics.

almost quasi-Urbanik structure , almost quasi-Urbanik theory , degree of quasi-Urbanikness

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National Academy of Sciences, Institute of Mathematics and Mathematical Modeling, Kazakh-British Technical University, 28 Shevchenko street, Almaty, 050010, Kazakhstan
Sobolev Institute of Mathematics, 4 Academician Koptyug Avenue, Novosibirsk, 630090, Russian Federation

National Academy of Sciences
Sobolev Institute of Mathematics

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