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# Magma

## Category Documents

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Magma/CountIdempotents
compute the number of idempotents in a magma

Magma/CountSquares
count the squares in a magma

Magma/HasIdentity
test whether a finite magma has a (two-sided) identity element

Magma/HasLeftIdentity
test whether a magma has a left identity

Magma/HasLeftZero
test whether a magma has a left zero element

Magma/HasRightIdentity
test whether a magma has a right identity

Magma/HasRightZero
test whether a magma has a right zero element

Magma/HasZero
test for the existence of a (two-sided) zero element in a finite magma

Magma/IdempotentElements
return the set of idempotents in a magma

Magma/Identity
test whether a finite magma has a (two-sided) identity element

Magma/IsIdentity
test whether an element of a magma is a (two-sided) identity

Magma/IsLeftIdentity
test whether an element of a magma is a left identity

Magma/IsLeftZero
test whether an element of a magma is a left zero

Magma/IsRightIdentity
test whether an element of a magma is a right identity

Magma/IsRightZero
test whether an element of a magma is a right zero

Magma/IsZero
test whether an element of a magma is a zero

Magma/LeftIdentity
return a left identity element of a magma with a left identity

Magma/RightIdentity
return a right identity element of a magma with a right identity

Magma/Squares
compute the set of squares in a magma

Magma/Zero
return a zero element of a magma with a zero.

Magma/AreIsomorphic
test isomorphism of magmas

Magma/GetIsomorphism
return an isomorphism between isomorphic magmas

Magma/IsomorphicCopy
produce an isomorphic copy of a magma

Magma/IsomorphismClassRepresentatives
return a list of isomorphism class representatives for a list of finite magmas

Magma/IsomorphismClasses
partition a list of magmas into isomorphism classes

Magma/TransportStructure
produce an isomorphic copy of a magma

Magma/IsAlternative
test whether a magma is alternative

Magma/IsAntiCommutative
test whether a given magma is anti-commutative

Magma/IsAssociative
test whether a given magma is associative

Magma/IsBand
test whether a magma is a band

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