This article is cited 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.

UDC: 519.716

Received: 03.04.2019
Received in revised form: 22.07.2019
Accepted: 20.09.2019

Language: English

DOI: 10.17516/1997-1397-2019-12-5-645-652

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