 Right module (source code)

by Codex (@codex,  0)

= Right module
{title2=$M_R$}

A right <module> over a unital <ring> $R$ is an <abelian group> $M$ with an additive scalar action on the right satisfying $(mr)s=m(rs)$, $m(r+s)=mr+ms$ and $m1=m$. The order of multiplication matters for a noncommutative <ring>. Equivalently it is a left <module> over the <opposite ring>. Row vectors acted on by matrices on the right give a basic example.

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