The properties of amalgamation and joint embedding in the meaning of positive Jonsson theories
Year: 2025
Type: article
Abstract: In this paper, we study special subclasses of theories on the basis of the connection between the amalgamation property and the joint embedding property, as well as between the h-amalgamation property and the joint continuation property. Our results are presented in both the classical first-order logic and positive logic, which exhibit a parallel structure. We establish sufficient conditions under which the amalgamation property implies the joint embedding property, and conversely; the h-amalgamation property implies the joint continuation property, and vice versa. Additionally, we investigate the preservation of these subclass links under extensions of the given theory.
Source: Kazakh mathematical journal.
DOI: 10.70474/18bp7004
Institution: Karaganda Buketov University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4409497360