Symbols:Abstract Algebra/General Operation

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General Operation

$\circ$

Often used to denote:

A general binary operation in an equally general algebraic structure $\struct {S, \circ}$
A general ring product in an equally general ring $\struct {R, +, \circ}$.

The $\LaTeX$ code for $\circ$ is \circ .

Variants

$\bigtriangleup, \bigtriangledown, \intercal$

Used by certain authors to denote a general binary operation.

$\bigtriangleup$ and $\bigtriangledown$ can be found in 1965: Seth Warner: Modern Algebra, while $\intercal$ is found in 1975: T.S. Blyth: Set Theory and Abstract Algebra and given the name truc (pronounced trook, French for trick or technique).

Other symbols used for a general binary operation on $\mathsf{Pr} \infty \mathsf{fWiki}$ include $*$, $\oplus$ and $\odot$.

The $\LaTeX$ code for $\bigtriangleup$ is \bigtriangleup .
The $\LaTeX$ code for $\bigtriangledown$ is \bigtriangledown .
The $\LaTeX$ code for $\intercal$ is \intercal .
The $\LaTeX$ code for $*$ is *  or \ast.
The $\LaTeX$ code for $\oplus$ is \oplus .
The $\LaTeX$ code for $\odot$ is \odot .