%% convent.tex (short version)  
%% A preliminary chapter of the Book of Involutions

\chapter*{Conventions and Notations}

\subsubsection{Maps}
The image of an element~$x$ under a map~$f$ is generally denoted
$f(x)$; the notation~$x^f$\index{B}{xf@{$x^f$ (left module homomorphism)}} 
is also used however, notably for
homomorphisms of left modules. In that case, we also use the
right-hand rule for mapping composition; for the image of $x\in X$ under the
composite map  $X\xrightarrow{f}Y\xrightarrow{g}Z$ we set 
 either $g\circ f(x)$ or $x^{f g}$ and the
composite is thus either $g\circ f$ or $f g$.

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