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A note on tolerance lattices of algebras with restricted similarity type. (English) Zbl 0854.08002

For finite algebras the recent result of I. Chajda [in the paper reviewed above] is improved to:
Theorem. For any finite algebra \(A\) of a finite similarity type there exists a finite (!) algebra \(C\) of type \((2,1,1)\) such that the lattices of tolerances (congruences) on \(A\) and \(C\) are isomorphic.
Reviewer: J.Duda (Brno)

MSC:

08A30 Subalgebras, congruence relations
08A62 Finitary algebras

References:

[1] Chajda I.: Tolerance lattice of algebras with restricted similarity type. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 34 (1995), 59-62. · Zbl 0854.08001
[2] Chajda I.: Algebraic Theory of Tolerance Relations. Monograph Series of Palacký University Olomouc, 1991. · Zbl 0747.08001
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