Unilateral $o$-Groups
Algebra i logika, Tome 45 (2006) no. 1, pp. 20-27
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For a big number of varieties $\mathcal V$ of groups close to Engelian, it is proved that a variety of lattice-ordered groups generated by all linearly ordered groups in the class $\mathcal P\mathcal V=\bigcup_{k\in\mathbf Z_+}\mathcal V^k$ does not coincide with the variety $\mathcal O_l$ of all $o$-approximable lattice-ordered groups.
Keywords:
unilateral $o$-group, lattice-ordered group.
Mots-clés : Engelian group
Mots-clés : Engelian group
@article{AL_2006_45_1_a1,
author = {A. W. Glass and N. Ya. Medvedev},
title = {Unilateral $o${-Groups}},
journal = {Algebra i logika},
pages = {20--27},
publisher = {mathdoc},
volume = {45},
number = {1},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2006_45_1_a1/}
}
A. W. Glass; N. Ya. Medvedev. Unilateral $o$-Groups. Algebra i logika, Tome 45 (2006) no. 1, pp. 20-27. http://geodesic.mathdoc.fr/item/AL_2006_45_1_a1/