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On the approximability of automorphism groups of lattices by automorphism groups of totally ordered sets

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Abstract

Criteria for the approximability of some classes of automorphism groups of lattices by automorphism groups of totally ordered sets are obtained.

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References

  1. G. Grätzer, General Lattice Theory (Academic Press, New York-London, 1978; Mir, Moscow, 1982).

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

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  3. P. F. Conrad, “The lattice of all convex l-subgroups of a lattice-ordered group,” Czechoslovak Math. J. 15(1), 101–123 (1965)

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Authors and Affiliations

  1. Institute of Applied Mathematical Research, Karelian Research Center, Russian Academy of Sciences, Moscow, Russia

    V. M. Tararin

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  1. V. M. Tararin
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Correspondence to V. M. Tararin.

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Original Russian Text © V. M. Tararin, 2008, published in Matematicheskie Zametki, 2008, Vol. 84, No. 3, pp. 95–102.

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Tararin, V.M. On the approximability of automorphism groups of lattices by automorphism groups of totally ordered sets. Math Notes 84, 389–395 (2008). https://doi.org/10.1134/S0001434608090095

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  • DOI: https://doi.org/10.1134/S0001434608090095

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