Punctual Dimension of Algebraic Structures in Certain Classes

被引：2

作者：

Dorzhieva, M., V ^{[1
]}

Issakhov, A. A. ^{[2
]}

Kalmurzayev, B. S. ^{[2
,3
]}

Kornev, R. A. ^{[4
]}

Kotov, M., V ^{[5
]}

机构：

[1] Massey Univ, Auckland 0745, New Zealand

[2] Kazakh British Tech Univ, Alma Ata 050000, Kazakhstan

[3] Al Farabi Kazakh Natl Univ, Alma Ata 050040, Kazakhstan

[4] Sobolev Inst Math, Novosibirsk 630090, Russia

[5] Sobolev Inst Math, Omsk Branch, Omsk 644043, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 04期

关键词：

computable model theory; primitive recursive function; punctual structure; primitive recursive structure; effective algebra; POLYNOMIAL-TIME;

D O I：

10.1134/S1995080221040089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 infinity: equivalence structures, linear orders, torsion-free abelian groups, abelian p-groups, Boolean algebras.

引用

页码：716 / 725

页数：10

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