Tolerance distributive and tolerance modular varieties of commutative semigroups
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.
It is shown that any power , of a finite -element algebra , has factorable tolerances whenever the power has the same property.