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Punctual Dimension of Algebraic Structures in Certain Classes Full article

Journal Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962
Output data Year: 2021, Volume: 42, Number: 4, Pages: 716-725 Pages count : 10 DOI: 10.1134/S1995080221040089
Tags computable model theory; effective algebra; primitive recursive function; primitive recursive structure; punctual structure
Authors Dorzhieva M.V. 1 , Issakhov A.A. 2 , Kalmurzayev B.S. 2,3 , Kornev R.A. 4 , Kotov M.V. 5
Affiliations
1 Massey University, Auckland, 0745, New Zealand
2 Kazakh-British Technical University, Alma-Ata, 050000, Kazakhstan
3 al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
4 Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
5 Sobolev Institute of Mathematics (Omsk Branch), Omsk, 644043, Russian Federation

Funding (2)

1 Министерство науки и высшего образования РФ
Mathematical Center in Akademgorodok
075-15-2019-1613, 075-15-2022-281
2 Mathematical Center in Akademgorodok 075-15-2019-1675

Abstract: Abstract: Punctual presentations of algebraic structures in several familiar classes are studied. It is proved that the punctual dimension of punctual structures from the following classes is either 1 or ∞: equivalence structures, linear orders, torsion-free abelian groups, abelian p-groups, Boolean algebras. © 2021, Pleiades Publishing, Ltd.
Cite: Dorzhieva M.V. , Issakhov A.A. , Kalmurzayev B.S. , Kornev R.A. , Kotov M.V.
Punctual Dimension of Algebraic Structures in Certain Classes
Lobachevskii Journal of Mathematics. 2021. V.42. N4. P.716-725. DOI: 10.1134/S1995080221040089 WOS Scopus OpenAlex
Dates:
Submitted: Oct 20, 2020
Published print: Jun 4, 2021
Accepted: Dec 15, 2023
Identifiers:
Web of science: WOS:000658286600005
Scopus: 2-s2.0-85107200603
OpenAlex: W3170292829
Citing:
DB Citing
Scopus 2
OpenAlex 3
Web of science 2
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