Varieties and Torsion Classes of $m$-Groups
Algebra i logika, Tome 42 (2003) no. 6, pp. 683-691
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We prove that every variety of $m$-groups is a torsion class; find basis of identities for a product variety of $m$-groups; and show that the product of every finitely based variety of $m$-groups and a variety of Abelian $m$-groups is a finitely based variety.
Keywords:
lattice-ordered group, basis of identities, variety
Mots-clés : $m$-group, torsion class of $m$-groups.
Mots-clés : $m$-group, torsion class of $m$-groups.
@article{AL_2003_42_6_a2,
author = {O. V. Isaeva},
title = {Varieties and {Torsion} {Classes} of $m${-Groups}},
journal = {Algebra i logika},
pages = {683--691},
publisher = {mathdoc},
volume = {42},
number = {6},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2003_42_6_a2/}
}
O. V. Isaeva. Varieties and Torsion Classes of $m$-Groups. Algebra i logika, Tome 42 (2003) no. 6, pp. 683-691. http://geodesic.mathdoc.fr/item/AL_2003_42_6_a2/