Prime Orders All of Whose Prime Suborders Are Selfdual |
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| Authors: | Youssef Boudabbous Imed Zaguia Nejib Zaguia |
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| Affiliation: | 1.Faculté des Sciences de Sfax, Département de Mathématiques,Sfax,Tunisie;2.Department of Mathematics and Computer Science,Royal Military College of Canada,Kingston,Canada;3.The School of Information Technology and Engineering,The University of Ottawa,Ottawa,Canada |
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| Abstract: | Let P be an order on a set V. A subset A of V is autonomous in P if every element of V not in A is either less than or greater than or incomparable to all elements of A. The empty set, the singletons from V and the set V are autonomous sets and are called trivial. Call an order prime if all its autonomous sets are trivial. We give the complete list of all finite prime orders all of whose prime suborders are selfdual. |
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