Информационная система "Конференции"

Abstracts

Model theory and set theory

We have considered connection between universal subclass of Jonsson's theory with center of one under stability property for existential types. For example, we have the following result.

Theorem. Let T is universal, complete for existential sentenses, perfect Jonsson's theory, k≥w. Then the following are equivalent:

1) T - J-k-stable,

2) T* - k-stable, where T* is center of T.

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