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Magma[IsAlternative] - test whether a magma is alternative
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Calling Sequence
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IsAlternative( 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 IsAlternative command returns true if the given magma satisfies the laws (X*X)*Y = X*(X*Y) and X*(Y*Y) = (X*Y)*Y. It returns false otherwise.
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Compatibility
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The Magma[IsAlternative] 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=8562/file02110/math73.png)
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![m := Matrix([[1, 2, 3], [2, 3, 3], [3, 1, 2]])](/support/helpjp/helpview.aspx?si=8562/file02110/math87.png)
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