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Elementary equivalence for lattices of subalgebras of free algebras

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Abstract

A class of varieties V (including all finitely based lattice varieties) is determined for which the elementary equivalence of lattices of subalgebras of free V-algebras, Fv(X) and Fv(Y), is equivalent to sets X and Y being second-order equivalent.

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References

  1. A. G. Pinus and H. Rose, “Second order equivalence of cardinals: an algebraic approach,” to appear.

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Authors
  1. A. G. Pinus
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  2. H. Rose
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Additional information

Supported by RFFR grant No. 99-01-00571.

Supported by the National Research Foundation of the Republic of South Africa, and by the University of Cape Town Research Committee.

Translated fromAlgebra i Logika, Vol. 39, No. 5, pp. 595–601, September–October, 2000.

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Pinus, A.G., Rose, H. Elementary equivalence for lattices of subalgebras of free algebras. Algebr Logic 39, 341–344 (2000). https://doi.org/10.1007/BF02681618

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  • DOI: https://doi.org/10.1007/BF02681618

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