|
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
Abstract:
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.
Keywords:
multifunction, hyperfunction, clone, ultraclone, maximal partial ultraclone, classification of functions.
Received: 03.04.2019 Received in revised form: 22.07.2019 Accepted: 20.09.2019
Citation:
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
Linking options:
https://www.mathnet.ru/eng/jsfu788 https://www.mathnet.ru/eng/jsfu/v12/i5/p645
|
Statistics & downloads: |
Abstract page: | 127 | Full-text PDF : | 38 | References: | 20 |
|