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Punctual Dimension of Algebraic Structures in Certain Classes
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2021-06-04 , DOI: 10.1134/s1995080221040089
M. V. Dorzhieva , A. A. Issakhov , B. S. Kalmurzayev , R. A. Kornev , M. V. Kotov

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 \(\infty\): equivalence structures, linear orders, torsion-free abelian groups, abelian \(p\)-groups, Boolean algebras.



中文翻译:

某类代数结构的准点维数

摘要

研究了几个熟悉的类中代数结构的准时表示。证明了以下类别的 punctual 结构的 punctual 维数为 1 或\(\infty\):等价结构、线性阶数、无扭转阿贝尔群、阿贝尔\(p\) -群、布尔代数。

更新日期:2021-06-04
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