# Trivially ordered set

From Encyclopedia of Mathematics

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