<p>We consider rank-2 multi-operations. The superposition is defined on the basis of a set-theoretic intersection operation with selection of a single element. The interval between the clone of self-transitive operations and the multiclone of all multi-operations is described. The results obtained can be applied to the description of other intervals in the lattice of rank-2 multiclones.</p>

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ON AN \(SI^{*}\)-INTERVAL OF RANK-2 MULTIOPERATIONS

  • I. V. Fomina,
  • V. I. Panteleev

摘要

We consider rank-2 multi-operations. The superposition is defined on the basis of a set-theoretic intersection operation with selection of a single element. The interval between the clone of self-transitive operations and the multiclone of all multi-operations is described. The results obtained can be applied to the description of other intervals in the lattice of rank-2 multiclones.