Essentially minimal TC-clones on three-element base set

The authors determine the lattice of the clone consisting of the projections and those members of Burle's clone that take on the values 0 and 1 only. Even this lattice is considerably more complicated than the well-known Post's lattice of all clones on the two-element set. On the basis of this result the authors can determine all minimal and essentially minimal TC-clones on the three-element set.<
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