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On the subsemilattices of first-order definable and openly first-order definable congruences of the congruence lattice of a universal algebra

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Abstract

We prove some representation theorems for lattices and their lower subsemilattices as the lattices of congruences and subsemilattices of first-order definable congruences of universal algebras.

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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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Original Russian Text Copyright © 2006 Pinus A. G.

The author was supported by the Russian Foundation for Basic Research (Grant 02-01-00258).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 4, pp. 865–872, July–August, 2006.

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Pinus, A.G. On the subsemilattices of first-order definable and openly first-order definable congruences of the congruence lattice of a universal algebra. Sib Math J 47, 714–719 (2006). https://doi.org/10.1007/s11202-006-0082-x

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  • DOI: https://doi.org/10.1007/s11202-006-0082-x

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