Geodesic
On minimal bases in full partial ultraclone of rank~$2$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1478-1487.

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The problem of classification of minimal bases of multifunctions in full partial ultraclone of rank $2$ is considered. A description of all types of minimal bases is obtained using the classification of multifunctions with respect to belonging to the maximal partial ultraclones.
Keywords: partial function, multifunction, many-valued logic, partial ultraclone.
Mots-clés : superposition 
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     title = {On minimal bases in full partial ultraclone of rank~$2$},
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S. A. Badmaev; I. K. Sharankhaev. On minimal bases in full partial ultraclone of rank~$2$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1478-1487. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a33/

[1] S.A. Badmaev, “On the classes of Boolean functions generated by maximal partial ultraclones”, Izv. Irkutsk. Gos. Univ., Ser. Mat., 27 (2019), 3–14 | MR | Zbl

[2] S.A. Badmaev, I.K. Sharankhaev, “On the classes of partial functions generated by maximal partial ultraclones”, Sib. Elektron. Mat. Izv., 17 (2020), 32–46 | DOI | MR | Zbl

[3] S.A. Badmaev, “Classification of Hyperfunctions of Rank 2 with Respect to Membership in the Maximal Partial Ultraclones”, J. Sib. Fed. Univ. Math. Phys., 12:5 (2019), 645–652 | MR

[4] V.I. Panteleyev, “On two maximal multiclones and partial ultraclones”, Izv. Irkutsk. Gos. Univ., Ser. Mat., 5:4 (2012), 46–53 | Zbl

[5] S.A. Badmaev, I.K. Sharankhaev, “On maximal clones of partial ultrafunctions on a two-element set”, Izv. Irkutsk. Gos. Univ., Ser. Mat., 16 (2016), 3–18 | MR | Zbl

[6] S.A. Badmaev, “A Completeness Criterion of Set of Multifunctions in Full Partial Ultraclone of Rank 2”, Sib. Elektron. Mat. Izv., 15 (2018), 450–474 | MR | Zbl