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Tolerances on poset algebras

Bohdan Zelinka (1992)

Mathematica Bohemica

To everz partiallz ordered set a certain groupoid is assigned. A tolerance on it is defined similarlz as a congruence, onlz the requirement of transitivitz is omitted. Some theorems concerning these tolerances are proved.

Tolerances on powers of a finite algebra

Jaromír Duda (1992)

Mathematica Bohemica

It is shown that any power A n , n 2 , of a finite k -element algebra A , k 2 , has factorable tolerances whenever the power A 4 k 2 - 3 k has the same property.

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