Model-theoretic properties of semantic pairs and e.f.c.p. in Jonsson spectrum


Йонсондық спектрлердегi йонсондық семантикалық қосар мен шектi жабудың экзистенциалды қасиетiнiң моделдi-теоретикалық қасиеттерi
Теоретико-модельные свойства сематических пар и e.f.c.p. в йонсоновских спектрах
Zhumabekova G.E.
2023E.A. Buketov Karaganda University Publish house

Bulletin of the Karaganda University. Mathematics Series
2023#112Issue 4185 - 193 pp.

The article is committed to the study of model-theoretic properties of stable hereditary Jonsson theories, wherein we consider Jonsson theories that retain jonssonnes for any permissible enrichment. The paper proves a generalization of stability that relates stability and classical stability for Jonsson spectrum. This paper introduces new concepts such as “existentially finite cover property” and “semantic pair”. The basic properties of e.f.c.p. and semantic pairs in the class of stable perfect Jonsson spectrum are studied.

central type , e.f.c.p , existentially closed pair , fundamental order , hereditary theory , Jonsson theory , perfect theory , permissible enrichment , saturated model , semantic model , semantic pair , stable theory

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Karaganda Buketov University, Karaganda, Kazakhstan
Karaganda Industrial University, Karaganda, Kazakhstan

Karaganda Buketov University
Karaganda Industrial University

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