Difference between revisions of "Trivially ordered set"
From Encyclopedia of Mathematics
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| − | A [[partially ordered set]] $A$ in which distinct elements are incomparable: $x \le y \Leftrightarrow x = y$. | + | 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=35424
Trivially ordered set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Trivially_ordered_set&oldid=35424