Equational Noethericity of Metabelian r -Groups

Сибирский математический журнал

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