Bulletin of Irkutsk State University. Series Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Bulletin of Irkutsk State University. Series Mathematics:
Year:
Volume:
Issue:
Page:
Find




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

Bulletin of Irkutsk State University. Series Mathematics, 2023, Volume 44, Pages 116–135
DOI: https://doi.org/10.26516/1997-7670.2023.44.116 (Mi iigum530) 		 
Algebraic and logical methods in computer science and artificial intelligence

On Chu spaces over $SS-Act$ category

Evgeniy E. Skurikhinab, Alena A. Stepanovaa, Andrey G. Sukhonosa

a Far-Eastern Federal University, Vladivostok, Russian Federation
b Institute of Applied Mathematics FEB RAS, Vladivostok, Russian Federation
Full-text PDF (755 kB)
References:
PDF
HTML
DOI: https://doi.org/10.26516/1997-7670.2023.44.116
Abstract: We prove the general properties of morphisms of Chu spaces and functors with a value in the category $Chu(SS-Act)$ of Chu spaces over the category $SS-Act$. As a consequence, for the category $Chu(SS-Act)$ the existence of coproducts and some products is proved, monomorphisms and epimorphisms are characterized; in terms of this category the characteristics of separable and complete separable Chu spaces are given.
Keywords: Cartesian closed category, $S$-Act, Chu spaces, functors, limits.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-946
The research was carried out at the Far Eastern Center for Mathematical Research with the financial support of the Ministry of Science and Higher Education of the Russian Federation, Agreement No. 075-02-2023-946 dated February 16, 2023 on the implementation of programs for the development of regional scientific and educational mathematical centers.
Received: 20.01.2023
Revised: 13.03.2023
Accepted: 20.03.2023
Document Type: Article
UDC: 512.53, 512.58
MSC: 20M30, 18M05
Language: English
Citation: Evgeniy E. Skurikhin, Alena A. Stepanova, Andrey G. Sukhonos, “On Chu spaces over $SS-Act$ category”, Bulletin of Irkutsk State University. Series Mathematics, 44 (2023), 116–135
Citation in format AMSBIB
\Bibitem{SkuSteSuk23}
\by Evgeniy~E.~Skurikhin, Alena~A.~Stepanova, Andrey~G.~Sukhonos
\paper On Chu spaces over $SS-Act$ category
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2023
\vol 44
\pages 116--135
\mathnet{http://mi.mathnet.ru/iigum530}
\crossref{https://doi.org/10.26516/1997-7670.2023.44.116}
Linking options:
  • https://www.mathnet.ru/eng/iigum530
  • https://www.mathnet.ru/eng/iigum/v44/p116
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:78
    Full-text PDF :31
    References:19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024