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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2023 Volume 20, Issue 2, Pages 1374–1380 (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

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.

UDC: 519.716

MSC: 08A99

Received May 20, 2023, published November 30, 2023

DOI: doi.org/10.33048/semi.2023.20.083



© Steklov Math. Inst. of RAS, 2025