On the theory of represantable varieties of lattice-ordered groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 65 (2020), pp. 22-29 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the properties of some $o$-approximable varieties of lattice-ordered groups and refine the previously obtained results on the structure of the lattice of varieties of lattice-ordered groups.
Keywords: lattice-ordered group, representable varieties, cover.
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N. V. Bayanova; A. V. Zenkov; G. V. Prusakova. On the theory of represantable varieties of lattice-ordered groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 65 (2020), pp. 22-29. http://geodesic.mathdoc.fr/item/VTGU_2020_65_a1/

[1] V. M. Kopytov, Lattice-ordered groups, Nauka, M., 1984

[2] V. M. Kopytov, N. Ya. Medvedev, The theory of lattice-ordered groups, Kluwer Academic Publishers, Dordrecht–Boston–London, 1994, 374 pp. | MR | Zbl

[3] M. Andersen, M. Darnel, T. Feil, “A variety of lattice-ordered groups containing all representable covers of the abelian variety”, Order, 7 (1991), 401–405 | DOI | MR

[4] S. V. Molochko, S. V. Morozova, “On the theory of varieties of lattice-ordered groups”, Sib. Math. J., 38:1 (1997), 127–135 | DOI | MR | Zbl

[5] N. Ya. Medvedev, S. V. Morozova, “On covers in the lattice of representable $\ell$-varieties”, Czechoslovak Mathematical Journal, 48:4 (1998), 821–831 | DOI | MR | Zbl

[6] N. Ya. Medvedev, “On the lattice of $o$-approximable $\ell$-varieties”, Czech. Math. J., 34:1 (1984), 6–17 | DOI | MR | Zbl

[7] M. E. Huss, N. R. Reilly, “On reversing the order of a lattice ordered group”, J. Algebra, 91 (1984), 176–191 | DOI | MR | Zbl