Quasivarieties with Torsion-Free Nilpotent Groups
Algebra i logika, Tome 40 (2001) no. 6, pp. 629-650
Cet article a éte moissonné depuis la source Math-Net.Ru
A condition is specified on which a quasivariety generated by a direct product of two groups with amalgamated central subgroups has an infinite lattice of subquasivarieties. A lattice of quasivarieties is stated finite for a quasivariety which is a union of some covers of Abelian groups in a lattice of quasivarieties of torsion-free solvable groups.
Keywords:
quasivariety, lattice of quasivarieties, nilpotent group, Abelian group
Mots-clés : torsion-free solvable group.
Mots-clés : torsion-free solvable group.
@article{AL_2001_40_6_a0,
author = {A. I. Budkin},
title = {Quasivarieties with {Torsion-Free} {Nilpotent} {Groups}},
journal = {Algebra i logika},
pages = {629--650},
year = {2001},
volume = {40},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2001_40_6_a0/}
}
A. I. Budkin. Quasivarieties with Torsion-Free Nilpotent Groups. Algebra i logika, Tome 40 (2001) no. 6, pp. 629-650. http://geodesic.mathdoc.fr/item/AL_2001_40_6_a0/