The IsRightZero(m,z) command returns true if z is a right zero of the magma m, and false otherwise.  The element z is a right zero if x*z = z, for all x in m.

$\mathrm{with}\left(\mathrm{Magma}\right)\:$

$m≔⟨⟨⟨1\left|2\right|3⟩\,⟨1\left|3\right|1⟩\,⟨1\left|1\right|1⟩⟩⟩$

$m≔\left[\begin{array}{ccc}1& 2& 3\\ 1& 3& 1\\ 1& 1& 1\end{array}\right]$

$\mathrm{IsRightZero}\left(m\,1\right)$

$\mathrm{true}$

$\mathrm{IsRightZero}\left(m\,2\right)$

$\mathrm{false}$

The Magma[IsRightZero] command was introduced in Maple 15.

For more information on Maple 15 changes, see Updates in Maple 15.