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Article · Lobachevskii Journal of Mathematics · December 1, 2024
Pseudo-strongly-minimal Structures and Theories
B. Sh. Kulpeshov, In. I. Pavlyuk, Sergey Vladimirovich Sudoplatov
Abstract
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.
Advanced Topology and Set TheoryRings, Modules, and AlgebrasLimits and Structures in Graph Theorystrongly minimal theoriesmodel theorypartial ordering
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