Tolerances on powers of a finite algebra. (English) Zbl 0777.08004

Duda, Jaromír

Math. Bohem. 117, No. 3, 299-304 (1992).

R. Willard has shown that congruences on any power \(A^ n\), \(n\geq 2\), of a finite \(k\)-element algebra \(A\), \(k\geq 2\), are factorable whenever the power \(A^{k^ 3+k^ 2-k}\) has the same property. For tolerances, the exponent \(4k^ 2-3k\) is found in the present paper.

Reviewer: J.Duda (Brno)

MSC:

08A30	Subalgebras, congruence relations
08A05	Structure theory of algebraic structures

Keywords:

factorable tolerance; powers of finite algebras