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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
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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}
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