期刊论文详细信息
Сибирский математический журнал | |
Equational Noethericity of Metabelian r -Groups | |
article | |
N. S. Romanovskii1  | |
[1] Sobolev Institute of Mathematics, Novosibirsk State University | |
关键词: metabelian group; divisible group; equationally Noetherian group; | |
DOI : 10.1134/S0037446620010139 | |
学科分类:数学(综合) | |
来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk | |
【 摘 要 】
The author had earlier defined the concept of an r-group, generalizing the concept of a rigid (solvable) group. This article proves that every metabelian r-group is equationally Noetherian; i.e., each system of equations in finitely many variables with coefficients in the group is equivalent to some finite subsystem.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202106300004599ZK.pdf | 124KB | download |