期刊论文详细信息
Сибирский математический журнал | |
Generalized Rigid Groups: Definitions, Basic Properties, and Problems | |
N. S. Romanovskii1  | |
[1] Novosibirsk State University | |
关键词: soluble group; divisible group; group axioms; | |
DOI : 10.1134/S0037446618040122 | |
学科分类:数学(综合) | |
来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk | |
【 摘 要 】
We find a natural generalization of the concept of rigid group. The generalized rigid groups are also called r-groups. The terms of the corresponding rigid series of every r-group can be characterized by both â-formulas and â-formulas. We find a recursive system of axioms for the class of r-groups of fixed solubility length. We define divisible r-groups and give an appropriate system of axioms. Several fundamental problems are stated.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO201910251305581ZK.pdf | 122KB | download |