cokernel
Sign in to saveAlso known as coker
The cokernel of a linear mapping of vector spaces is the quotient space of the codomain of by the image of . The dimension of the cokernel is called the corank of .
In the Vinony graph
Within Vinony's link graph, cokernel is referenced by 174 other articles, and connects out to universal property, strict 2-category and vector space.
It sits within the topics Abstract algebra, Category theory and Isomorphism theorems.
Its subject is documented across 11 Wikipedia language editions.
Wikidata facts
- Subclass of
- coequalizer
Show 2 more facts
- studied by
- category theory
- maintained by WikiProject
- WikiProject Mathematics
Sources (2)
via Wikidata · CC0
~6 min read
Encyclopedic overview
5 sectionsContents
- Formal definition
- Examples
- Special cases
- Intuition
- References
The cokernel of a linear mapping of vector spaces is the quotient space of the codomain of by the image of . The dimension of the cokernel is called the corank of .
Cokernels are dual to the kernels of category theory, hence the name: the kernel is a subobject of the domain (it maps to the domain), while the cokernel is a quotient object of the codomain (it maps from the codomain).
Excerpted from Wikipedia’s “cokernel” article, available under the CC BY-SA 4.0 licence.
Gallery (4)
Available in 11 languages
via Wikidata sitelinks · CC0