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order


\begin{usage}
order~a\\ order(a)(b)
\end{usage}


Signature


\begin{params}
{\em a} & \% & A nonunit element of the domain\\
{\em b} & \% & A nonzero element of the domain\\\end{params}

\begin{retval}
order(a)(b) returns the unique nonnegative integer $n = \nu_a(b)...
...1} \not\vert~~b$, while order(a) returns the map
$b \to \nu_a(b)$.
\end{retval}

\begin{remarks}
% latex2html id marker 18579order(a) makes some precalculatio...
...}$, then it
is more efficient to use the {\tt orderquo} function.
\end{remarks}


Example


See Also



Manuel Bronstein 2000-12-13