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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
中文翻译:
某类代数结构的准点维数
更新日期:2021-06-04
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。