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// Algebra i logika
// Archive
Algebra Logika,
2021
Volume 60,
Number 2,
Pages
176–194
(Mi al2657)
Coordinate groups of irreducible algebraic sets over divisible metabelian
$r$
-groups
N. S. Romanovskii
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
We describe coordinate groups of generalized rigid metabelian groups in which, whenever a group is noncommutative, the second factor of a rigid series is a divisible
$R$
-module over an appropriate integral domain
$R$
.
Keywords:
coordinate group, generalized rigid metabelian group, rigid series.
UDC:
512.5
Received: 01.06.2020
Revised: 24.08.2021
DOI:
10.33048/alglog.2021.60.205
Fulltext:
PDF file (248 kB)
References
English version:
Algebra and Logic, 2021,
60
:2,
115–127
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024