|
This article is cited in 5 scientific papers (total in 5 papers)
Algebraic sets in metabelian groups
N. S. Romanovskii
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
The research launched in [Algebra i Logika, 44, № 5 (2005), 601–621] is brought to a close by examining algebraic sets in a metabelian group $G$ in two important cases: (1) $G=F_n$ is a free metabelian group of rank $n$; (2) $G=W_{n,k}$ is a wreath product of free Abelian groups of ranks $n$ and $k$.
Keywords:
algebraic set, metabelian group.
 Full text:
PDF file (149 kB)
References:
PDF file
HTML file
English version:
Algebra and Logic, 2007, 46:4, 274–280
Bibliographic databases:
   
UDC:
512.5
Received: 09.11.2006
Citation:
N. S. Romanovskii, “Algebraic sets in metabelian groups”, Algebra Logika, 46:4 (2007), 503–513; Algebra and Logic, 46:4 (2007), 274–280
Citation in format AMSBIB
\Bibitem{Rom07}
\by N.~S.~Romanovskii
\paper Algebraic sets in metabelian groups
\jour Algebra Logika
\yr 2007
\vol 46
\issue 4
\pages 503--513
\mathnet{http://mi.mathnet.ru/al310}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2363556}
\zmath{https://zbmath.org/?q=an:1155.20033}
\transl
\jour Algebra and Logic
\yr 2007
\vol 46
\issue 4
\pages 274--280
\crossref{https://doi.org/10.1007/s10469-007-0026-y}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000255038000006}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548736080}
Linking options:
http://mi.mathnet.ru/eng/al310 http://mi.mathnet.ru/eng/al/v46/i4/p503
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
N. S. Romanovskii, “Irreducible algebraic sets over divisible decomposed rigid groups”, Algebra and Logic, 48:6 (2009), 449–464
 -
E. Yu. Daniyarova, A. G. Myasnikov, V. N. Remeslennikov, “Algebraic geometry over algebraic structures. II. Foundations”, J. Math. Sci., 185:3 (2012), 389–416
-
N. S. Romanovskii, “Algebraic sets in a finitely generated rigid $2$-step solvable pro-$p$-group”, Algebra and Logic, 54:6 (2016), 478–488
-
Lysenok I. Ushakov A., “Spherical Quadratic Equations in Free Metabelian Groups”, Proc. Amer. Math. Soc., 144:4 (2016), 1383–1390
 -
S. G. Afanas'eva, “Algebraic sets in a divisible $2$-rigid group”, Siberian Math. J., 59:2 (2018), 202–206
|
| Number of views: |
| This page: | 263 | | Full text: | 51 | | References: | 47 | | First page: | 10 |
|
Terms of Use