Category theory MOC

Kernel

In a category with zero morphisms, the kernel of a morphism is the equalizer of with the zero morphism . #m/def/cat

The dual notion is the cokernel.

Examples in particular categories

• Kernel of a group homomorphism in and
• Linear kernel in
• Module kernel in
• Kernel of an algebra homomorphism in
• Kernel of a Lie algebra homomorphism in

#state/tidy | #lang/en | #SemBr