On closure operators of Jonsson sets


Йонсондық жиындардың тұйықталу операторлары туралы
Об операторах замыкания йонсоновских множеств
Ulbrikht O.I. Urken G.A.
2024E.A. Buketov Karaganda University Publish house

Bulletin of the Karaganda University. Mathematics Series
2024#114Issue 2211 - 220 pp.

The work is related to the study of the model-theoretic properties of Jonsson theories, which, generally speaking, are not complete. In the article, on the Boolean of Jonsson subsets of the semantic model of some fixed Jonsson theory, the concept of the Jonsson closure operator Jcl was introduced, defining the J-pregeometry on these subsets, and some results were obtained describing this closure operator.

closure operator , J-pregeometry , Jonsson set , Jonsson theory , semantic model

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The Department of Algebra, Mathematical Logic and Geometry named after Professor T.G. Mustafin, Karaganda Buketov University, 28 Universitetskaya street, Karaganda, 100024, Kazakhstan
Karaganda Buketov University, 28 Universitetskaya street, Karaganda, 100024, Kazakhstan

The Department of Algebra
Karaganda Buketov University

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