ON SOME TYPES OF ALGEBRAS OF A JONSSON SPECTRUM
Yeshkeyev A.R. Tungushbayeva I.O. Ulbrikht O.I.
2024Sobolev Institute of Mathematics
Siberian Electronic Mathematical Reports
2024#21Issue 2866 - 881 pp.
We work in the framework of study of Jonsson spectra for concerning classes of structures. In this paper, the issues of cosemantic Jonsson theories and Jonsson spectrum are discussed. There are shown some results on the opportunity of introducing some types of algebras on the Jonsson spectrum. Also, it is proved that the nite axiomatizability of the Kaiser hull of the Jonsson theory implies the niteness of cosemantic Jonsson theories.
amalgamation property , cosemantic Jonsson theories , cosemantic structures , cosemanticness classes , Existentially closed models , joint embedding property , Jonsson equivalence , Jonsson spectrum , Jonsson theory , nitely axiomatizable Jonsson theory , the lattice of Jonsson theories
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