Abstract
We deal with varieties of lattice-ordered groups {ie149-1} defined by the identity [xn, yn]=e. The structure of subdirectly indecomposable l-groups in the variety {ie149-2} is studied, and we establish that l-varieties satisfying the identity [xn, yn]=e and generated by a finitely generated l-group are finitely based. It is shown that l-varieties {ie149-3} with finite axiomatic rank {ie149-4} also have finite bases of identities.
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Translated fromAlgebra i Logika, Vol. 35, No. 3, pp. 268–287, May–June, 1996.
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Gurchenkov, S.A. Varieties ofl-groups are finitely based. Algebr Logic 35, 149–159 (1996). https://doi.org/10.1007/BF02367212
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DOI: https://doi.org/10.1007/BF02367212