Prime Orders All of Whose Prime Suborders Are Selfdual

Youssef Boudabbous; Imed Zaguia; Nejib Zaguia

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Prime Orders All of Whose Prime Suborders Are Selfdual

机译：素数订单所有素数子订单都是自对的

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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.

机译：令P为集合V上的阶。如果V的子集A不在A中，则V的子集A在P中是自治的。和集合V是自治集合，称为平凡集合。如果它的所有自治集都是平凡的，则称其为素数。我们给出所有有限素数阶的完整列表，所有有限素数阶的所有素数子阶都是自对偶的。

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来源
《Order》 |2010年第3期|p.283-300|共18页
作者
Youssef Boudabbous; Imed Zaguia; Nejib Zaguia;
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作者单位

Faculte des Sciences de Sfax, Departement de Mathematiques, BP 802,3018, Sfax, Tunisie;

rnDepartment of Mathematics and Computer Science, Royal Military College of Canada, P.O. Box 17000, Station Forces, Kingston, ON, K7K 7B4, Canada;

rnThe School of Information Technology and Engineering, The University of Ottawa, 800 King Edward Avenue, Ottawa, ON, K1N 6N5, Canada;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
ordered set; autonomous set; prime order; ulam reconstruction; duality;

机译：有序集自治集首要订单乌兰姆重建二元性;

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Prime Orders All of Whose Prime Suborders Are Selfdual

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