自同态偏序集$P^P$是否决定了有限偏序集$P$是否连通？达夫在1978年提出的一个问题

IF 0.3 Q4 MATHEMATICS Mathematica Bohemica Pub Date : 2022-08-29 DOI:10.21136/mb.2022.0010-22

J. Farley

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摘要

． Duffus在1978年的博士论文中写道，“P是连通的，P P ~ = Q Q暗示Q是连通的，这是不明显的”，其中P和Q是有限的非空偏集。我们证明，在这些假设下，Q是连通的，P ~ = Q。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Does the endomorphism poset $P^P$ determine whether a finite poset $P$ is connected? An issue Duffus raised in 1978

. Duﬀus wrote in his 1978 Ph.D. thesis, “It is not obvious that P is connected and P P ∼ = Q Q imply that Q is connected”, where P and Q are ﬁnite nonempty posets. We show that, indeed, under these hypotheses Q is connected and P ∼ = Q .

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来源期刊

Mathematica Bohemica MATHEMATICS-

CiteScore

1.10

自引率

0.00%

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审稿时长

52 weeks