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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 2, Pages 1374–1380
DOI: https://doi.org/doi.org/10.33048/semi.2023.20.083 (Mi semr1646) 		 
Mathematical logic, algebra and number theory

On submaximal ultraclones of self-dual hyperfunctions of rank $2$

S. A. Badmaev, I. K. Sharankhaev

Dorzhi Banzarov Buryat State University, 24a, Smolina str., 670000, Ulan-Ude, Russia
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DOI: https://doi.org/doi.org/10.33048/semi.2023.20.083
Abstract: In article the elements of the lattice of ultraclones are considered. We proved the criterion of completeness in the maximal ultraclone of self-dual hyperfunctions. Thus, all submaximal ultraclones of self-dual hyperfunctions are described.
Keywords: hyperfunction, Boolean function, self-dual function, superposition, closed set, ultraclone, lattice.
Funding agency Grant number
Russian Science Foundation 22-21-20013
Received May 20, 2023, published November 30, 2023
Document Type: Article
UDC: 519.716
MSC: 08A99
Language: Russian
Citation: S. A. Badmaev, I. K. Sharankhaev, “On submaximal ultraclones of self-dual hyperfunctions of rank $2$”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1374–1380
Citation in format AMSBIB
\Bibitem{BadSha23}
\by S.~A.~Badmaev, I.~K.~Sharankhaev
\paper On submaximal ultraclones of self-dual hyperfunctions of rank~$2$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 2
\pages 1374--1380
\mathnet{http://mi.mathnet.ru/semr1646}
\crossref{https://doi.org/doi.org/10.33048/semi.2023.20.083}
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