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Semigroup Forum

, Volume 75, Issue 1, pp 181–211 | Cite as

The Minimal Clones above the Permutations

  • Hajime MachidaEmail author
  • Michael PinskerEmail author
Article

Abstract

We determine the atoms of the interval of the clone lattice consisting of those clones which contain all permutations, on an infinite base set. This is equivalent to the description of the atoms of the lattice of transformation monoids above the permutations.

Keywords

Induction Hypothesis Strong Support Weak Support Algebraic Lattice Kernel Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2007

Authors and Affiliations

  1. 1.Department of Mathematics, Hitotsubashi University, Naka 2-1, KunitachiTokyo 186-8601Japan
  2. 2.Institut fur Diskrete Mathematik und Geometrie, Technische Universitat Wien, Wiedner Hauptstrasse 8-10/104A-1040 WienAustria

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