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Elementary equivalence for the lattices of subalgebras and automorphism groups of free algebras

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Abstract

We find an elementary equivalence criterion for the lattices of subalgebras of free algebras in regular varieties. The question is addressed of elementary equivalence for the automorphism groups of algebras of this type.

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References

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Authors and Affiliations

  1. Novosibirsk State Technical University, Novosibirsk, Russia

    A. G. Pinus

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  1. A. G. Pinus
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Correspondence to A. G. Pinus.

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Original Russian Text Copyright © 2008 Pinus A. G.

The author was supported by the Russian Foundation for Basic Research (Grant 06-01-00159-a).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 4, pp. 865–869, July–August, 2008.

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Pinus, A.G. Elementary equivalence for the lattices of subalgebras and automorphism groups of free algebras. Sib Math J 49, 692–695 (2008). https://doi.org/10.1007/s11202-008-0066-0

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  • DOI: https://doi.org/10.1007/s11202-008-0066-0

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