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
.
Sources
- 1965: Seth Warner: Modern Algebra
- 1975: T.S. Blyth: Set Theory and Abstract Algebra