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Magma[HasIdentity] - test whether a finite magma has a (two-sided) identity element
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Calling Sequence
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HasIdentity( m )
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Parameters
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m
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Array representing the Cayley table of a finite magma
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Description
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The HasIdentity command returns true if the given magma has a two-sided identity element. That is, an element i such that i*x = x*i = x, for all x in m. Otherwise, it returns the value false.
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Compatibility
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The Magma[HasIdentity] command was introduced in Maple 15.
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Examples
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![m := Matrix([[1, 2, 3], [2, 3, 1], [3, 1, 2]])](/support/helpjp/helpview.aspx?si=8554/file02102/math77.png)
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![m := Matrix([[1, 1, 2], [2, 2, 3], [2, 1, 2]])](/support/helpjp/helpview.aspx?si=8554/file02102/math91.png)
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Download Help Document
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