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Coverings in the lattice of quasivarieties ofl-groups

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Abstract

We investigate the structure of the lattice of quasivarieties of lattice-ordered groups (l-groups). Series of coverings for certain particular quasivarieties of l-groups are constructed.

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References

  1. M. R. Darnel, “Varieties minimal over representable varieties of lattice-ordered groups,”Comm. Alg.,21, No. 8, 2637–2665 (1993).

    MATH  MathSciNet  Google Scholar 

  2. A. I. Mal'tsev,Algebraic Systems [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  3. V. M. Kopytov,Lattice-Ordered Groups [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  4. V. M. Kopytov and N. Ya. Medvedev,The Theory of Lattice-Ordered Groups, Kluwer, Dordrecht (1994).

    Google Scholar 

  5. M. I. Kargapolov and Yu. N. Merzlyakov,Foundations of Group Theory [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  6. A. G. KuroshGroup Theory [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  7. V. M. Kopytov, “Non-Abelian varieties of lattice-ordered groups whose solvablel-groups are all Abelian,”Mat. Sb.,126, No. 2, 247–266 (1985).

    MATH  MathSciNet  Google Scholar 

  8. G. Bergman, “Specially ordered groups,”Comm. Alg.,12, 2315–2333 (1984).

    MATH  MathSciNet  Google Scholar 

  9. O. V. Isaeva and H. Ya. Medvedev, “Coverings in the lattice of quasivarieties ofl-groups,”Sib. Mat. Zh.,33, No. 2, 102–107 (1992).

    MathSciNet  Google Scholar 

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Authors
  1. N. V. Bayanova
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Additional information

Supported by RFFR grant No. 93-011-1524.

Translated fromAlgebra i Logika, Vol. 35, No. 4, pp. 379–388, July–August, 1996.

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Bayanova, N.V. Coverings in the lattice of quasivarieties ofl-groups. Algebr Logic 35, 211–216 (1996). https://doi.org/10.1007/BF02367022

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  • DOI: https://doi.org/10.1007/BF02367022

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