- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (2)
- Authors
- Badmaev, Sergey A.
- Contact information
- Badmaev, Sergey A.: Institute of Mathematics and Computer Science Buryat State University Smolina, 24a, Ulan-Ude, 670000 Russia;
- Keywords
- multifunctions; ultrafunctions; maximal clones; lattice
- Abstract
Multifunctions on a two-element set are considered in this paper. Functions from finite set to set of all subsets of this set are called multifunctions. Partial functions, hyperfunctions, ultrafunctions, par- tial hyperfunctions and partial ultrafunctions are arised depending on the type of multifunctions and superposition. In this work the problem of description of clones (sets of function closed with respect to the operation of superposition and containing all the projections) of partial ultrafunctions is considered. We got a description of one maximal clone of partial ultrafunctions on two-element set by the predicate approach
- Pages
- 140–145
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/31569
Journal of Siberian Federal University. Mathematics & Physics / On Some Maximal Clone of Partial Ultrafunctions on a Two-element Set
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