Kernel (algebra)
id:
kernel-algebra-161-19124363
title:
Kernel (algebra)
text:
In algebra, the kernel of a homomorphism is generally the inverse image of 0. An important special case is the kernel of a linear map. The kernel of a matrix, also called the null space, is the kernel of the linear map defined by the matrix. The kernel of a homomorphism is reduced to 0 if and only if the homomorphism is injective, that is if the inverse image of every element consists of a single element. This means that the kernel can be viewed as a measure of the degree to which the homomorphi
brand slug:
wiki
category slug:
encyclopedia
description:
Inverse image of zero under a homomorphism
original url:
https://en.wikipedia.org/wiki/Kernel_(algebra)
date created:
2002-03-21T08:12:19Z
date modified:
2024-08-27T15:03:17Z
main entity:
{"identifier":"Q574844","url":"https://www.wikidata.org/entity/Q574844"}
image:
fields total:
13
integrity:
15