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Lattices of quasiorders on universal algebras. (English. Russian original) Zbl 0854.06007

Algebra Logic 34, No. 3, 180-181 (1995); translation from Algebra Logika 34, No. 3, 327-328 (1995).
The authors prove the theorem that a lattice \(L\) is isomorphic to the lattice of quasiorders on a universal algebra if and only if it is an algebraic lattice.

MSC:

06B15 Representation theory of lattices
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References:

[1] A. G. Pinus and I. Chajda, ”Quasiorders on universal algebras,”Algebra Logika,32, 3 308–325 (1993). · Zbl 0824.08002
[2] P. Pudlak, ”A new proof of the congruence lattice represenatation theorem,”Alg. Univ,6, 3 269–276 (1976). · Zbl 0358.08005 · doi:10.1007/BF02485835
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