A. R. Eshkeev, O. I. Ulbrikht, “$JSp$-cosemanticness of $R$-modules”, Sib. Èlektron. Mat. Izv., 2019, Volume 16,Pages 1233

This article is cited in 12 papers

Mathematical logic, algebra and number theory

$JSp$-cosemanticness of $R$-modules

A. R. Eshkeev, O. I. Ulbrikht

Buketov Karaganda State University, 28, Universitetskaya str., Karaganda, 100028, Kazakhstan

Abstract: The main purpose of this article is to study the model-theoretic 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.

Keywords: Jonsson theory, model companion, existentially closed model, perfectness, cosemanticness, $R$-modules.

UDC: 510.67

MSC: 03C60, 03C68, 03C10

Received October 3, 2018, published September 10, 2019

DOI: 10.33048/semi.2019.16.084