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7 Category of algebroids
 7.1 Properties
 7.2 Attributes
 7.3 Operations
 7.4 Constructors
 7.5 GAP categories

7 Category of algebroids

7.1 Properties

7.1-1 IsCommutative
‣ IsCommutative( A )( property )

Returns: true or false

Check whether the algebroid A is commutative.

7.1-2 IsCounitary
‣ IsCounitary( B )( property )

Returns: true or false

Check whether B is counitary.

7.1-3 IsCoassociative
‣ IsCoassociative( B )( property )

Returns: true or false

Check whether B is coassociative.

7.2 Attributes

7.2-1 AsCapCategory
‣ AsCapCategory( arg )( attribute )

7.2-2 AsCapFunctor
‣ AsCapFunctor( arg )( attribute )

7.3 Operations

7.3-1 Twist
‣ Twist( A, B )( operation )

Returns: a CAP functor

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

7.4 Constructors

7.4-1 CategoryOfAlgebroids
‣ CategoryOfAlgebroids( arg1, arg2 )( operation )

7.4-2 CategoryOfAlgebroidsObject
‣ CategoryOfAlgebroidsObject( arg )( attribute )

7.4-3 CategoryOfAlgebroidsMorphism
‣ CategoryOfAlgebroidsMorphism( arg1, arg2, arg3 )( operation )

7.4-4 CategoryOfAlgebroidsMorphism
‣ CategoryOfAlgebroidsMorphism( arg )( operation )

7.5 GAP categories

7.5-1 IsCategoryOfAlgebroidsObject
‣ IsCategoryOfAlgebroidsObject( object )( filter )

Returns: true or false

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

7.5-2 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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