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6 Category of algebroids
 6.1 Properties
 6.2 Attributes
 6.3 Operations
 6.4 Constructors
 6.5 GAP categories

6 Category of algebroids

6.1 Properties

6.1-1 IsCommutative
‣ IsCommutative( A )( property )

Returns: true or false

Check whether the algebroid A is commutative.

6.1-2 IsCounitary
‣ IsCounitary( B )( property )

Returns: true or false

Check whether B is counitary.

6.1-3 IsCoassociative
‣ IsCoassociative( B )( property )

Returns: true or false

Check whether B is coassociative.

6.2 Attributes

6.2-1 AsCapCategory
‣ AsCapCategory( arg )( attribute )

6.2-2 AsCapFunctor
‣ AsCapFunctor( arg )( attribute )

6.3 Operations

6.3-1 Twist
‣ Twist( A, B )( operation )

Returns: a CAP functor

Construct the canonical twist from A \(\otimes\) B to B \(\otimes\) A

6.4 Constructors

6.4-1 CategoryOfAlgebroids
‣ CategoryOfAlgebroids( arg1, arg2 )( operation )

6.4-2 CategoryOfAlgebroidsObject
‣ CategoryOfAlgebroidsObject( arg )( attribute )

6.4-3 CategoryOfAlgebroidsMorphism
‣ CategoryOfAlgebroidsMorphism( arg1, arg2, arg3 )( operation )

6.4-4 CategoryOfAlgebroidsMorphism
‣ CategoryOfAlgebroidsMorphism( arg )( operation )

6.5 GAP categories

6.5-1 IsCategoryOfAlgebroidsObject
‣ IsCategoryOfAlgebroidsObject( object )( filter )

Returns: true or false

The GAP category of objects in the category of algebroids over a ring \(R\).

6.5-2 IsCategoryOfAlgebroidsMorphism
‣ IsCategoryOfAlgebroidsMorphism( object )( filter )

Returns: true or false

The GAP category of morphisms in the category of algebroids over a ring \(R\).

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