Algebra i logika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Logika:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra i logika, 2023, Volume 62, Number 5, Pages 637–664
DOI: https://doi.org/10.33048/alglog.2023.62.504 (Mi al2781) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Stone dualities for distributive posets

M. V. Schwidefskyab

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (260 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.33048/alglog.2023.62.504
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 established by M. H. Stone for the category of distributive $(0,1)$-lattices.
Keywords: poset, ideal, spectrum, spectral space.
Funding agency Grant number
Russian Science Foundation 22-21-00104
M. V. Schwidefsky is supported by the Russian Science Foundation, project No. 22-21-00104; https://rscf.ru/project/22-21-00104/.
Received: 16.08.2022
Revised: 28.08.2024
English version:
Algebra and Logic, 2023, Volume 62, Issue 5, Pages 430–447
DOI: https://doi.org/10.1007/s10469-024-09756-z
Document Type: Article
UDC: 512.56
Language: Russian
Citation: M. V. Schwidefsky, “Stone dualities for distributive posets”, Algebra Logika, 62:5 (2023), 637–664; Algebra and Logic, 62:5 (2023), 430–447
Citation in format AMSBIB
\Bibitem{Sch23}
\by M.~V.~Schwidefsky
\paper Stone dualities for distributive posets
\jour Algebra Logika
\yr 2023
\vol 62
\issue 5
\pages 637--664
\mathnet{http://mi.mathnet.ru/al2781}
\transl
\jour Algebra and Logic
\yr 2023
\vol 62
\issue 5
\pages 430--447
\crossref{https://doi.org/10.1007/s10469-024-09756-z}
Linking options:
  • https://www.mathnet.ru/eng/al2781
  • https://www.mathnet.ru/eng/al/v62/i5/p637
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025