DOAJ Open Access 2021

On Jonsson varieties and quasivarieties

A.R. Yeshkeyev

Abstrak

In this paper, new objects of research are identified, both from the standpoint of model theory and from the standpoint of universal algebra. Particularly, the Jonsson spectra of the Jonsson varieties and the Jonsson quasivarieties are considered. Basic concepts of 3 types of convexity are given: locally convex theory, ϕ(x)-convex theory, J-ϕ(x)-convex theory. Also, the inner and outer worlds of the model of the class of theories are considered. The main result is connected with the question of W. Forrest, which is related to the existential closed ness of an algebraically closed variety. This article gives a sufficient condition for a positive answer to this question.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (1)

A.R. Yeshkeyev

Format Sitasi

APA MLA BibTeX

Yeshkeyev, A. (2021). On Jonsson varieties and quasivarieties. https://doi.org/10.31489/2021M4/151-157

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.31489/2021M4/151-157
Akses: Open Access ✓