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Magma

 HasLeftZero
 test whether a magma has a left zero element

 Calling Sequence HasLeftZero( m )

Parameters

 m - Array representing the Cayley table of a finite magma

Description

 • The HasLeftZero( m ) command returns true if the magma m has a left zero element, and returns false otherwise.

Examples

 > $\mathrm{with}\left(\mathrm{Magma}\right):$
 > $m≔⟨⟨⟨1|2|3⟩,⟨2|2|2⟩,⟨3|1|1⟩⟩⟩$
 ${m}{≔}\left[\begin{array}{ccc}{1}& {2}& {3}\\ {2}& {2}& {2}\\ {3}& {1}& {1}\end{array}\right]$ (1)
 > $\mathrm{HasLeftZero}\left(m\right)$
 ${\mathrm{true}}$ (2)

Compatibility

 • The Magma[HasLeftZero] command was introduced in Maple 15.