On some types of algebras of a Jonsson spectrum

Authors

  • Professor Yeshkeyev Aibat Rafhatuly Karaganda Buketov University
  • Indira Tungushbayeva Karaganda Buketov University
  • Professor Yeshkeyev Aibat Rafhatuly Karaganda Buketov University

Keywords:

Existentially closed models, amalgamation property, joint embedding property, Jonsson theory, cosemantic Jonsson theories, Jonsson spectrum, cosemanticness classes, cosemantic structures, the lattice of Jonsson theories, Jonsson equivalence, finite axiomatizable Jonsson theory

Abstract

We work in the framework of study of Jonsson spectra for concerning classes of structures. In this paper, the issues of cosemantic Jonsson theories and Jonsson spectrum are discussed. There are shown some results on the opportunity of introducing some types of algebras on the Jonsson spectrum. Also, it is proved that the finite axiomatizability of the Kaiser hull of the Jonsson theory implies the finiteness of cosemantic Jonsson theories.

Author Biographies

Professor Yeshkeyev Aibat Rafhatuly, Karaganda Buketov University

Professor, Doctor of Physical and Mathematical Sciences,

Professor of the Department of Algebra, Mathematical Logic and Geometry named after Professor T.G. Mustafin

Indira Tungushbayeva, Karaganda Buketov University

Master of Natural Sciences

PhD student of Karaganda Buketov University

Professor Yeshkeyev Aibat Rafhatuly, Karaganda Buketov University

Associative Professor of the Department of Algebra, Mathematical Logic and Geometry named after Professor T.G. Mustafin

Published

2025-03-03

Issue

Vol. 21 No. 2 (2024): Vol. 21, No. 2, 2024

Section

Mathematical logic, algebra and number theory

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