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''in a partially ordered set''

An element directly following another element; more precisely, the expression  "a covers b in the partially ordered set P"  means that $b<a$ and that there is no element $x\in P$ such that $b<x<a$.

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How to Cite This Entry:
Covering element. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Covering_element&oldid=32501

This article was adapted from an original article by T.S. Fofanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article

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