‣ AddEpimorphismFromSomeProjectiveObjectForKernelObject( C, F ) | ( operation ) |
‣ AddEpimorphismFromSomeProjectiveObjectForKernelObject( C, F, weight ) | ( operation ) |
Returns: nothing
The arguments are a category \(C\) and a function \(F\). This operation adds the given function \(F\) to the category for the basic operation EpimorphismFromSomeProjectiveObjectForKernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). \(F: ( alpha ) \mapsto \mathtt{EpimorphismFromSomeProjectiveObjectForKernelObject}(alpha)\).
‣ AddEpimorphismFromSomeProjectiveObjectForKernelObjectWithGivenSomeProjectiveObjectForKernelObject( C, F ) | ( operation ) |
‣ AddEpimorphismFromSomeProjectiveObjectForKernelObjectWithGivenSomeProjectiveObjectForKernelObject( C, F, weight ) | ( operation ) |
Returns: nothing
The arguments are a category \(C\) and a function \(F\). This operation adds the given function \(F\) to the category for the basic operation EpimorphismFromSomeProjectiveObjectForKernelObjectWithGivenSomeProjectiveObjectForKernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). \(F: ( alpha, source ) \mapsto \mathtt{EpimorphismFromSomeProjectiveObjectForKernelObjectWithGivenSomeProjectiveObjectForKernelObject}(alpha, source)\).
‣ AddMonomorphismToSomeInjectiveObjectForCokernelObject( C, F ) | ( operation ) |
‣ AddMonomorphismToSomeInjectiveObjectForCokernelObject( C, F, weight ) | ( operation ) |
Returns: nothing
The arguments are a category \(C\) and a function \(F\). This operation adds the given function \(F\) to the category for the basic operation MonomorphismToSomeInjectiveObjectForCokernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). \(F: ( alpha ) \mapsto \mathtt{MonomorphismToSomeInjectiveObjectForCokernelObject}(alpha)\).
‣ AddMonomorphismToSomeInjectiveObjectForCokernelObjectWithGivenSomeInjectiveObjectForCokernelObject( C, F ) | ( operation ) |
‣ AddMonomorphismToSomeInjectiveObjectForCokernelObjectWithGivenSomeInjectiveObjectForCokernelObject( C, F, weight ) | ( operation ) |
Returns: nothing
The arguments are a category \(C\) and a function \(F\). This operation adds the given function \(F\) to the category for the basic operation MonomorphismToSomeInjectiveObjectForCokernelObjectWithGivenSomeInjectiveObjectForCokernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). \(F: ( alpha, range ) \mapsto \mathtt{MonomorphismToSomeInjectiveObjectForCokernelObjectWithGivenSomeInjectiveObjectForCokernelObject}(alpha, range)\).
‣ AddSomeInjectiveObjectForCokernelObject( C, F ) | ( operation ) |
‣ AddSomeInjectiveObjectForCokernelObject( C, F, weight ) | ( operation ) |
Returns: nothing
The arguments are a category \(C\) and a function \(F\). This operation adds the given function \(F\) to the category for the basic operation SomeInjectiveObjectForCokernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). \(F: ( arg2 ) \mapsto \mathtt{SomeInjectiveObjectForCokernelObject}(arg2)\).
‣ AddSomeProjectiveObjectForKernelObject( C, F ) | ( operation ) |
‣ AddSomeProjectiveObjectForKernelObject( C, F, weight ) | ( operation ) |
Returns: nothing
The arguments are a category \(C\) and a function \(F\). This operation adds the given function \(F\) to the category for the basic operation SomeProjectiveObjectForKernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). \(F: ( arg2 ) \mapsto \mathtt{SomeProjectiveObjectForKernelObject}(arg2)\).
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