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Article · Sibirskie Elektronnye Matematicheskie Izvestiya · September 10, 2019

$JSp$-cosemanticness of $R$-modules

Aibat R. Yeshkeyev, O.I. Ulbrikht

Abstract

The main purpose of this article is to study the modeltheoretic properties of R-modules within Jonsson theories.We obtain a criterion of JSp-cosemanticness of R-modules, which generalizes the elementary equivalence of modules.We describe countably categorical perfect existentially closed Jonsson R-modules.

Rings, Modules, and AlgebrasAdvanced Topology and Set TheoryAdvanced Algebra and LogicR-modulesmodel theory of modules

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