Isomorphism of Atomless Boolean Algebras with Distinguished Ideals Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2025, DOI: 10.1007/s10469-025-09781-6 | ||||
| Tags | isomorphism problem, Boolean algebra with finitely many distinguished ideals (I-algebra), density of ideal, quotient algebra with respect to ideal | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 23-11-00170 |
Abstract:
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.
Cite:
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
Isomorphism of Atomless Boolean Algebras with Distinguished Ideals
Algebra and Logic. 2025. DOI: 10.1007/s10469-025-09781-6 WOS Scopus OpenAlex
Original:
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
Изоморфизм безатомных булевых алгебр с выделенным идеалом
Алгебра и логика. 2024. Т.63. №3. С.271–279. DOI: 10.33048/alglog.2024.63.303
Dates:
| Submitted: | Oct 20, 2024 |
| Accepted: | Apr 11, 2025 |
| Published online: | Apr 29, 2025 |
Identifiers:
| Web of science: | WOS:001478407100001 |
| Scopus: | 2-s2.0-105003827153 |
| OpenAlex: | W4409954635 |
Citing:
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