Punctual Dimension of Algebraic Structures in Certain Classes

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: 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.

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

Submitted:	Oct 20, 2020
Published print:	Jun 4, 2021
Accepted:	Dec 15, 2023

Web of science:	WOS:000658286600005
Scopus:	2-s2.0-85107200603
OpenAlex:	W3170292829

DB	Citing
Scopus	2
OpenAlex	3
Web of science	2