Geodesic
Algebraic sets in metabelian groups
Algebra i logika, Tome 46 (2007) no. 4, pp. 503-513 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The research launched in [Algebra i Logika, 44, No 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. 
@article{AL_2007_46_4_a5,
     author = {N. S. Romanovskii},
     title = {Algebraic sets in metabelian groups},
     journal = {Algebra i logika},
     pages = {503--513},
     year = {2007},
     volume = {46},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2007_46_4_a5/}
}
TY  - JOUR
AU  - N. S. Romanovskii
TI  - Algebraic sets in metabelian groups
JO  - Algebra i logika
PY  - 2007
SP  - 503
EP  - 513
VL  - 46
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/AL_2007_46_4_a5/
LA  - ru
ID  - AL_2007_46_4_a5
ER  - 
%0 Journal Article
%A N. S. Romanovskii
%T Algebraic sets in metabelian groups
%J Algebra i logika
%D 2007
%P 503-513
%V 46
%N 4
%U http://geodesic.mathdoc.fr/item/AL_2007_46_4_a5/
%G ru
%F AL_2007_46_4_a5
N. S. Romanovskii. Algebraic sets in metabelian groups. Algebra i logika, Tome 46 (2007) no. 4, pp. 503-513. http://geodesic.mathdoc.fr/item/AL_2007_46_4_a5/

[1] V. N. Remeslennikov, N. S. Romanovskii, “Neprivodimye algebraicheskie mnozhestva v metabelevoi gruppe”, Algebra i logika, 44:5 (2005), 601–621 | MR | Zbl

[2] G. Baumslag, A. Myasnikov, V. Remeslennikov, “Algebraic geometry over groups. I: Algebraic sets and ideal theory”, J. Algebra, 219:1 (1999), 16–79 | DOI | MR | Zbl

[3] A. Myasnikov, V. Remeslennikov, “Algebraic geometry over groups. II: Logical foundations”, J. Algebra, 234:1 (2000), 225–276 | DOI | MR | Zbl