Normal sets and their order-automorphisms
Abstract
For a finite set X and the prower set
of X, we definite normal subsets of
. We then describe all order-automorphisms of a normal subset of
, and, in particular, characterize those normal subsets of
for which each order-automorphism is induced, i. e. determined by a permutation of X.
![P<sub>X</sub>](https://358864.dpsou.asia/plugins/generic/latexRender/cache/5e5c28bdc8a0a0915c1085b171c0612f.png)
![P<sub>X</sub>](https://358864.dpsou.asia/plugins/generic/latexRender/cache/5e5c28bdc8a0a0915c1085b171c0612f.png)
![P<sub>X</sub>](https://358864.dpsou.asia/plugins/generic/latexRender/cache/5e5c28bdc8a0a0915c1085b171c0612f.png)
![P<sub>X</sub>](https://358864.dpsou.asia/plugins/generic/latexRender/cache/5e5c28bdc8a0a0915c1085b171c0612f.png)
DOI Code:
10.1285/i15900932v7n2p159
Full Text: PDF