Punctual Dimension of Algebraic Structures in Certain Classes
Dorzhieva M.V. Issakhov A.A. Kalmurzayev B.S. Kornev R.A. Kotov M.V.
April 2021Pleiades journals
Lobachevskii Journal of Mathematics
2021#42Issue 4716 - 725 pp.
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.
computable model theory , effective algebra , primitive recursive function , primitive recursive structure , punctual structure
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Massey University, Auckland, 0745, New Zealand
Kazakh-British Technical University, Alma-Ata, 050000, Kazakhstan
al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
Sobolev Institute of Mathematics (Omsk Branch), Omsk, 644043, Russian Federation
Massey University
Kazakh-British Technical University
al-Farabi Kazakh National University
Sobolev Institute of Mathematics
Sobolev Institute of Mathematics (Omsk Branch)
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