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Maximal Classes of PolkEl for 2 ≤ l < k

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Function Algebras on Finite Sets

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

This chapter continues the investigations of Chapter 16 and generalizes Theorem 14.1.3. For arbitrary k, l ∈ ℕ with 2 ≤ lk − 1 all maximal classes of PolkEl are determined. With the help of these maximal classes, one can easily give a completeness criterion for PolkEl.

The proofs given in this chapter resemble those ones from Chapter 6; that is, the results of this chapter were achieved with the means which were developed by I. G. Rosenberg in [Ros 70a].

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© 2006 Springer-Verlag Berlin Heidelberg

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(2006). Maximal Classes of PolkEl for 2 ≤ l < k. In: Function Algebras on Finite Sets. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36023-9_25

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