Kernel (category theory)
id:
kernel-category-theory-198-4241534
title:
Kernel (category theory)
text:
In category theory and its applications to other branches of mathematics, kernels are a generalization of the kernels of group homomorphisms, the kernels of module homomorphisms and certain other kernels from algebra. Intuitively, the kernel of the morphism f : X → Y is the "most general" morphism k : K → X that yields zero when composed with f. Note that kernel pairs and difference kernels sometimes go by the name "kernel"; while related, these aren't quite the same thing and are not discussed
brand slug:
wiki
category slug:
encyclopedia
description:
Generalization of the kernel of a homomorphism
original url:
https://en.wikipedia.org/wiki/Kernel_(category_theory)
date created:
date modified:
2023-10-01T06:26:20Z
main entity:
{"identifier":"Q2920416","url":"https://www.wikidata.org/entity/Q2920416"}
image:
fields total:
13
integrity:
14