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

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

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

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

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

$\mathrm{false}$

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

$\mathrm{true}$

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

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