Normal sets and their order-automorphisms


For a finite set X and the prower set P<sub>X</sub> of X, we definite normal subsets of P<sub>X</sub>. We then describe all order-automorphisms of a normal subset of P<sub>X</sub>, and, in particular, characterize those normal subsets of P<sub>X</sub> for which each order-automorphism is induced, i. e. determined by a permutation of X.

DOI Code: 10.1285/i15900932v7n2p159

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