Cokernel

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:categoryTheoryDefinition A cokernel is a universal morphism from the codomain of a morphism to an object such that the composition is zero.
gptkbp:contrastsWith gptkb:Kernel
gptkbp:defines The cokernel of a homomorphism f: A → B is the quotient of B by the image of f.
gptkbp:field gptkb:Mathematics
gptkbp:generalizes Quotient group
Quotient module
gptkbp:hasSubfield gptkb:algebra
https://www.w3.org/2000/01/rdf-schema#label Cokernel
gptkbp:notation coker(f)
gptkbp:relatedTo gptkb:Homomorphism
gptkb:Kernel
gptkbp:usedIn Category theory
Homological algebra
Module theory
gptkbp:bfsParent gptkb:Kernel_(algebra)
gptkbp:bfsLayer 8