Helmut Länger

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Motivated by cryptography, permutations induced by polynomial functions on finite lattices L = (L, ∨, ∧, *) with an antitone involution * are investigated. These permutations together with the operation of composition form a subgroup of the symmetric group on L. We describe the structure of this subgroup for different classes of lattices L and indicate(More)
Ring-like operations are introduced in pseudocomplemented semi-lattices in such a way that in the case of Boolean pseudocomplemented semilattices one obtains the corresponding Boolean ring operations. Properties of these ring-like operations are derived and a characterization of Boolean pseudocomplemented semilattices in terms of these operations is given.(More)