A monoidal interval of clones of selfdual functions

  • Authors:

  • Andrei Krokhin;Ivo G. Rosenberg

  • Affiliations:

  • Department of Computer Science, University of Durham, Science Laboratories, Durham, UK;Département de mathématiques et de statistique, Université de Montréal, Montréal, QC, Canada

  • Venue:
  • Journal of Automata, Languages and Combinatorics
  • Year:
  • 2006

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Abstract

Let A be a 2p-element set, p prime, and let π be a fixed point-free permutation on A of order p. We study the interval of clones C on A such that C consists of functions that are selfdual with respect to π and C contains all unary functions with this property.