On atomic and algebraically prime models obtained by closure of definable sets

Authors

  • A.R. Yeshkeyev
  • A.K. Issayeva
  • N.K. Shamatayeva

DOI:

https://doi.org/10.31489/2021m3/124-130

Keywords:

Jonsson theory, semantic model, prime model, atomic model, algebraically prime model, pregeometry, definable subset

Abstract

This article discusses the properties of atomic and prime models obtained with the some closure operator given on definable subsets of the semantic model some fixed Jonsson theory. The main result is to obtain the equivalence of the thus defined atomic and prime models, and this coincidence follows the assumption that there is some model with nice-defined properties.

Downloads

Published

2021-09-30

Issue

Section

MATHEMATICS