Abstract
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 \(\mathcal{P}\mathcal{V} = \bigcup\limits_{k \in Z_ + } {\mathcal{V}^k }\) does not coincide with the variety \(\mathcal{O}_l\) of all o-approximable lattice-ordered groups.
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Supported by FP “Universities of Russia” grant No. UR.04.01.001.
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Translated from Algebra i Logika, Vol. 45, No. 1, pp. 20–27, January–February, 2006.
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Glass, A.M.W., Medvedev, N.Y. Unilateral o-Groups. Algebr Logic 45, 12–16 (2006). https://doi.org/10.1007/s10469-006-0002-y
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DOI: https://doi.org/10.1007/s10469-006-0002-y