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Stone Dualities for Distributive Posets Full article

Journal Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302
Output data Year: 2023, Volume: 62, Number: 5, Pages: 430–447 Pages count : 18 DOI: 10.1007/s10469-024-09756-z
Tags poset, ideal, spectrum, spectral space
Authors Schwidefsky M.V. 1,2
Affiliations
1 Novosibirsk State University
2 Sobolev Institute of Mathematics

Funding (1)

1 Russian Science Foundation 22-21-00104

Abstract: A topological duality result is established for the category of distributive c-posets defined in this paper, as well as for some of its important full subcategories. All duality results presented extend the well-known topological duality result obtained by M. H. Stone for the category of distributive (0,1)-lattices
Cite: Schwidefsky M.V.
Stone Dualities for Distributive Posets
Algebra and Logic. 2023. V.62. N5. P.430–447. DOI: 10.1007/s10469-024-09756-z WOS Scopus РИНЦ OpenAlex
Original: Швидефски М.В.
Дуальность Стоуна для дистрибутивных частично упорядоченных множеств
Алгебра и логика. 2023. Т.62. №5. С.637–664. DOI: 10.33048/alglog.2023.62.504 РИНЦ
Dates:
Submitted: Aug 16, 2022
Accepted: Aug 28, 2024
Published print: Sep 30, 2024
Published online: Sep 30, 2024
Identifiers:
Web of science: WOS:001322440200001
Scopus: 2-s2.0-85205288710
Elibrary: 74623715
OpenAlex: W4402986397
Citing: Пока нет цитирований
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