Pseudo-strongly-minimal Structures and Theories
Kulpeshov B.S. Pavlyuk I.I. Sudoplatov S.V.
December 2024Pleiades Publishing
Lobachevskii Journal of Mathematics
2024#45Issue 126515 - 6525 pp.
Abstract: We describe some possibilities of approximations by strongly minimal structures and theories. The obtained objects of approximations are called pseudo-strongly-minimal. Possibilities for expansions and restrictions of theories with respect to the strong minimality and pseudo-strong-minimality are described. We describe properties and possibilities for pseudo-strongly-minimal partial orderings, in particular, pseudo-strongly-minimal theories of partial orderings, whose connected components form chains. Theories of pseudo-strongly-minimal groups are described, too.
pseudo-strongly-minimal group , pseudo-strongly-minimal order , pseudo-strongly-minimal theory , strongly minimal theory
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Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Kazakh British Technical University, Almaty, 050000, Kazakhstan
Novosibirsk State Technical University, Novosibirsk, 630073, Russian Federation
Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
Institute of Mathematics and Mathematical Modeling
Kazakh British Technical University
Novosibirsk State Technical University
Sobolev Institute of Mathematics
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