Article · BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS · June 30, 2019
The J-minimal sets in the hereditary theories
Aibat R. Yeshkeyev, M.T. Omarova, G.E. Zhumabekova
Abstract
The J-minimal sets in the hereditary theories Our attention in given article will be paid to the study of model-theoretic properties of hereditary Jonsson theories, while we consider Jonsson theories that retain jonsonness under any admissible enrichment.In given paper new concepts of essential type , essential geometric base are introduced, the orbital types and strongly minimal sets within the framework of special subsets of the semantic model, on which a closure operator is given, defining the special geometry of Jonsson are considered.The results for the J-strongly minimal types of the semantic model in the case, when these sets are separated from the orbits of the central types of Jonsson hereditary theories are also obtained.
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