Trivially ordered set
From Encyclopedia of Mathematics
(Redirected from Trivial order)
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:
Trivial order. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Trivial_order&oldid=35420
Trivial order. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Trivial_order&oldid=35420