This article is cited in 1 scientific paper (total in 1 paper)
Classification of hyperfunctions of rank 2 with respect to membership in the maximal partial ultraclones
Sergey A. Badmaev
Institute of Mathematics and Computer Science, Buryat State University, Smolina, 24a, Ulan-Ude, 670000, Russia
In this paper, we consider the set of hyperfunctions, which is a subset of the full partial ultraclone of rank 2. For hyperfunctions, the problem of their classification with respect to membership in the the maximal partial ultraclones is solved. The relation of membership in the maximal partial ultraclones is an equivalence relation and generates the corresponding partition into equivalence classes. A complete description of all equivalence classes, the total number of which is 28, is obtained.
multifunction, hyperfunction, clone, ultraclone, maximal partial ultraclone, classification of functions.
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Received in revised form: 22.07.2019
Sergey 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
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\paper Classification of hyperfunctions of rank 2 with respect to membership in the maximal partial ultraclones
\jour J. Sib. Fed. Univ. Math. Phys.
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This publication is cited in the following articles:
S. A. Badmaev, I. K. Sharankhaev, “O minimalnykh bazisakh v polnom chastichnom ultraklone ranga $2$”, Sib. elektron. matem. izv., 17 (2020), 1478–1487
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