Symbols:Abstract Algebra/Ordering

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Ordering

$\preceq, \preccurlyeq, \curlyeqprec$

Used to indicate an ordering relation on a general ordered set $\struct {S, \preceq}$, $\struct{T, \preccurlyeq}$ etc.

Their inverses are $\succeq$, $\succcurlyeq$ and $\curlyeqsucc$.

We also have:

$\prec$, which means: $\preceq$ or $\preccurlyeq$, etc. and $\ne$
$\succ$, which means: $\succeq$ or $\succcurlyeq$, etc. and $\ne$.


Their $\LaTeX$ codes are as follows:

$\preceq$: \preceq
$\preccurlyeq$: \preccurlyeq
$\curlyeqprec$: \curlyeqprec
$\prec$: \prec
$\succeq$: \succeq
$\succcurlyeq$: \succcurlyeq
$\curlyeqsucc$: \curlyeqsucc
$\succ$: \succ


The symbols $\le, <, \ge, >$ and their variants can also be used in the context of a general ordering if desired.

However, it is usually better to reserve them for the conventional orderings between numbers.