Pseudo-strongly-minimal Structures and Theories

B. Sh. Kulpeshov, In. I. Pavlyuk, Sergey Vladimirovich Sudoplatov

2024

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DOI 10.1134/s199508022460626x
Data confidence 70 medium
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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.