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Keywords:
tolerance relation; finite algebra; lattice; tolerance trivial algebra; Mal’cev function; Pixley function; arithmetical algebra
tolerance relation; finite algebra; lattice; tolerance trivial algebra; Mal’cev function; Pixley function; arithmetical algebra
Summary:
An algebra $A$ is tolerance trivial if $A̰= A$ where $A̰$ is the lattice of all tolerances on $A$. If $A$ contains a Mal’cev function compatible with each $T$ $A̰$, then $A$ is tolerance trivial. We investigate finite algebras satisfying also the converse statement.
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