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Magma[IsAssociative] - test whether a given magma is associative
Magma[IsSemigroup] - test whether a given magma is a semigroup
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Calling Sequence
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IsAssociative( m )
IsSemigroup( 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 IsAssociative command returns true if the given magma satisfies the associativity identity (XY)Z = X(YZ). It returns false otherwise.
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The IsSemigroup command is an alias for IsAssociative. A semigroup is an associative magma.
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Compatibility
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The Magma[IsAssociative] and Magma[IsSemigroup] commands were 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=8564/file02112/math86.png)
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![m := Matrix([[1, 2, 3], [2, 3, 3], [3, 1, 2]])](/support/helpjp/helpview.aspx?si=8564/file02112/math100.png)
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Download Help Document
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