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Rigidity problem of autodual clones

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2 Author(s)
M. Miyakawa ; Tsukuba Coll. of Technol., Ibaraki, Japan ; I. G. Rosenberg

The rigidity problem for sets of autodual clones leads to two specific problems in clone theory: (i) What are the sets R of permutations of k={0, 1,..., k-1} such that 1) each r∈R has all cycles of the same prime length and 2) the only unary function on k which commutes with all elements of R is the identity e ? () If a clone C is the inter section of the autodual clones Pol r, r∈R and if it holds C(1)={e}, what is the least n such that C(n)⊂∠J where J is the set of all projections ? We give some partial answers to these problems

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Multiple-Valued Logic, 2000. (ISMVL 2000) Proceedings. 30th IEEE International Symposium on

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