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<a accesskey="3" href="page.php?w=Ranked_poset&amp;p=2">3.Next</a>
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<p>In <a href="page.php?w=mathematics">mathematics</a>, a <b>ranked poset</b> is a <a href="page.php?w=partially_ordered_set">partially ordered set</a> in which one of the following (non-equivalent) conditions hold: it is<br/>
* a <a href="page.php?w=graded_poset">graded poset</a>, or<br/>
* a poset with the property that for every element x, all maximal <a href="page.php?w=chain_%28order_theory%29">chains</a> among those with x as <a href="page.php?w=greatest_element">greatest element</a> have the same finite <a href="page.php?w=Glossary_of_order_theory">length</a>,</p><p>
<a accesskey="3" href="page.php?w=Ranked_poset&amp;p=2">3.Next</a>
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