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3 Coframes of Zariski closed subsets
 3.1 GAP Categories
 3.2 Properties
 3.3 Attributes
 3.4 Operations

3 Coframes of Zariski closed subsets

3.1 GAP Categories

3.1-1 IsZariskiCoframe
‣ IsZariskiCoframe( object )( filter )

Returns: true or false

The GAP category of Zariski coframes.

3.1-2 IsObjectInZariskiCoframe
‣ IsObjectInZariskiCoframe( object )( filter )

Returns: true or false

The GAP category of objects in a Zariski coframe.

3.1-3 IsMorphismInZariskiCoframe
‣ IsMorphismInZariskiCoframe( morphism )( filter )

Returns: true or false

The GAP category of morphisms in a Zariski coframe.

3.2 Properties

3.2-1 IsIrreducibleObjectInZariskiCoframe
‣ IsIrreducibleObjectInZariskiCoframe( A )( property )

Returns: true or false

Check if A is irreducible or not. A shorthand ist IsIrreducible( A ).

3.3 Attributes

3.3-1 Dimension
‣ Dimension( A )( attribute )

Returns: an integer

The dimension of A.

3.3-2 FactorizeObject
‣ FactorizeObject( A )( attribute )

Returns: an integer an object in a Zariski coframe.

The degree of A. The factored object of A.

3.3-3 IrreducibleComponents
‣ IrreducibleComponents( A )( attribute )

Returns: a list

The list of irreducible components of A.

3.4 Operations

3.4-1 \[\]
\[\]( A, i )( operation )

Returns: an object in a Zariski coframe

The i-th irreducible component of A.

3.4-2 KnownFactors
‣ KnownFactors( A )( operation )

Returns: a list

The list of currently known factors of A.

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