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Isomorphism of Atomless Boolean Algebras with Distinguished Ideals Научная публикация

Журнал

Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302

Вых. Данные

Год: 2025, DOI: 10.1007/s10469-025-09781-6

Ключевые слова

isomorphism problem, Boolean algebra with finitely many distinguished ideals (I-algebra), density of ideal, quotient algebra with respect to ideal

Авторы

Goncharov S.S. ¹ , Xiang J. ²

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State University

Информация о финансировании (1)

Российский научный фонд

23-11-00170

An algebraic, model-theoretic, and algorithmic theory of enriched Boolean algebras with distinguished ideals was developed in a series of papers by D. E. Pal’chunov, A. Touraille, P. E. Alaev, N. T. Kogabaev, and other authors. Here we study the problem on the number of countable Boolean algebras with distinguished ideals for the case when an algebra and its quotient with respect to a distinguished ideal are atomless. It is proved that, for this subclass, there exist continuum many such countable structures.

Goncharov S.S. , Xiang J.
Isomorphism of Atomless Boolean Algebras with Distinguished Ideals
Algebra and Logic. 2025. DOI: 10.1007/s10469-025-09781-6 WOS Scopus OpenAlex

Гончаров С.С. , Сян Ц.
Изоморфизм безатомных булевых алгебр с выделенным идеалом
Алгебра и логика. 2024. Т.63. №3. С.271–279. DOI: 10.33048/alglog.2024.63.303

Поступила в редакцию:	20 окт. 2024 г.
Принята к публикации:	11 апр. 2025 г.
Опубликована online:	29 апр. 2025 г.

Web of science:	WOS:001478407100001
Scopus:	2-s2.0-105003827153
OpenAlex:	W4409954635

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