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Difference between revisions of "Trivially ordered set"

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A [[partially ordered set]]  $A$ in which distinct elements are incomparable: $x \le y \Leftrightarrow x = y$.
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A [[partially ordered set]]  $A$ in which distinct elements are incomparable: $x \le y \Leftrightarrow x = y$.  A trivial order has [[Length of a partially ordered set|length]] zero.

Latest revision as of 21:45, 6 December 2014

2020 Mathematics Subject Classification: Primary: 06A [MSN][ZBL]

A partially ordered set $A$ in which distinct elements are incomparable: $x \le y \Leftrightarrow x = y$. A trivial order has length zero.

How to Cite This Entry:
Trivially ordered set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Trivially_ordered_set&oldid=35419