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Dal'nevostochnyi Matematicheskii Zhurnal, 2021, Volume 21, Number 2, Pages 257–267
DOI: https://doi.org/10.47910/FEMJ202122 (Mi dvmg463) 		 
A generalized Dilworth and Gleason theorem

E. E. Skurikhinab

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202122
Abstract: The theorem of R. P. Dilworth and A. M.Gleason is a generalization of a Cantor theorem. We propose and proof the generalized Dilworth and Gleason theorem for functors with codomain $K/D$.
Key words: presheaves of sets, actions of semigroups on sets, preorders.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1395
Received: 06.10.2021
Document Type: Article
UDC: 512.534+512.58
MSC: Primary 18F20; Secondary 20M30
Language: Russian
Citation: E. E. Skurikhin, “A generalized Dilworth and Gleason theorem”, Dal'nevost. Mat. Zh., 21:2 (2021), 257–267
Citation in format AMSBIB
\Bibitem{Sku21}
\by E.~E.~Skurikhin
\paper A generalized Dilworth and Gleason theorem
\jour Dal'nevost. Mat. Zh.
\yr 2021
\vol 21
\issue 2
\pages 257--267
\mathnet{http://mi.mathnet.ru/dvmg463}
\crossref{https://doi.org/10.47910/FEMJ202122}
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