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Equational Noethericity of Metabelian r-Groups. / Romanovskii, N. S.

In: Siberian Mathematical Journal, Vol. 61, No. 1, 01.2020, p. 154-158.

Research output: Contribution to journal › Article › peer-review

Harvard

Romanovskii, NS 2020, 'Equational Noethericity of Metabelian r-Groups', Siberian Mathematical Journal, vol. 61, no. 1, pp. 154-158. https://doi.org/10.1134/S0037446620010139

APA

Romanovskii, N. S. (2020). Equational Noethericity of Metabelian r-Groups. Siberian Mathematical Journal, 61(1), 154-158. https://doi.org/10.1134/S0037446620010139

Vancouver

Romanovskii NS. Equational Noethericity of Metabelian r-Groups. Siberian Mathematical Journal. 2020 Jan;61(1):154-158. doi: 10.1134/S0037446620010139

Author

Romanovskii, N. S. / Equational Noethericity of Metabelian r-Groups. In: Siberian Mathematical Journal. 2020 ; Vol. 61, No. 1. pp. 154-158.

BibTeX

@article{3d75b608e2c540da8ede8525a690f0f6,
title = "Equational Noethericity of Metabelian r-Groups",
abstract = "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.",
keywords = "metabelian group, divisible group, equationally Noetherian group",
author = "Romanovskii, {N. S.}",
year = "2020",
month = jan,
doi = "10.1134/S0037446620010139",
language = "English",
volume = "61",
pages = "154--158",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "1",

}

RIS

TY - JOUR

T1 - Equational Noethericity of Metabelian r-Groups

AU - Romanovskii, N. S.

PY - 2020/1

Y1 - 2020/1

N2 - 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.

AB - 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.

KW - metabelian group

KW - divisible group

KW - equationally Noetherian group

U2 - 10.1134/S0037446620010139

DO - 10.1134/S0037446620010139

M3 - Article

VL - 61

SP - 154

EP - 158

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 1

ER -

ID: 26097072