The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models

D. E. Palchunov; A. V. Trofimov

doi:10.1134/S0037446620030131

The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models

D. E. Palchunov, A. V. Trofimov

Кафедра общей информатики ФИТ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

Studying Boolean algebras with distinguished subalgebras, we establish the existence of continuum many simple superatomic Boolean algebras with distinguished subalgebra whose elementary theories are distinct and each of them lacks countably saturated models. The subalgebras coincide with the Boolean algebras modulo their Fréchet ideals.

Язык оригинала	английский
Страницы (с-по)	516-527
Число страниц	12
Журнал	Siberian Mathematical Journal
Том	61
Номер выпуска	3
DOI	https://doi.org/10.1134/S0037446620030131
Состояние	Опубликовано - 1 мая 2020

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10.1134/S0037446620030131

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The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models. / Palchunov, D. E.; Trofimov, A. V.

В: Siberian Mathematical Journal, Том 61, № 3, 01.05.2020, стр. 516-527.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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KW - Boolean algebra with distinguished subalgebra

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