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JOURNALS // Bulletin of Irkutsk State University. Series Mathematics // Archive

Bulletin of Irkutsk State University. Series Mathematics, 2010 Volume 3, Issue 4, Pages 80–87 (Mi iigum179)

About some intervals in the lattic of clones of partial ultrafunctions

V. I. Panteleyev, S. Yu. Haltanova

East Siberian State Education Academy, 6, N. Naberezhnaya St., Irkutsk, 664011

Abstract: The intervals between the clone of function, saving 0 (1) and the clone of all partial ultrafunctions are considered in the lattic of clones of partial ultrafunctions. It`s showing that such intervals contain 20 clones.

Keywords: clon; multiclon; lattic; superposition; closed set; ultrafunctions; multifunctions.

UDC: 519.716



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