Model-theoretic properties of J-non-multidimensional theories
DOI:
https://doi.org/10.31489/2024m4/119-126Keywords:
Jonsson theory, semantic model, perfect Jonsson theory, hereditary Jonsson theory, Jonsson spectrum, permissible enrichment, central type, existentially closed model, J-stable theory, semantic pairs, existentially finite cover propertyAbstract
The issues of utilizing the central type to analyze the theoretical and model properties of the idea of heredity were examined in this research, taking into account both theories and the Jonsson spectrum. Finding solutions to issues related to the enriching language for the fixed Jonsson theory is associated with the problems of heredity of Jonsson theory. Another feature of Jonsson theories was described in the presented article. That is, the conclusion concerning J-non-multidimensional theories was presented in this study. The connection between J-P-stable theories and J-non-multidimensional theories was also characterired. In addition, the main result in the article was considered for the class of semantic pairs.
