Mitchell's embedding theorem
id:
mitchell-s-embedding-theorem-168-18922359
title:
Mitchell's embedding theorem
text:
Mitchell's embedding theorem, also known as the Freyd–Mitchell theorem or the full embedding theorem, is a result about abelian categories; it essentially states that these categories, while rather abstractly defined, are in fact concrete categories of modules. This allows one to use element-wise diagram chasing proofs in these categories. The theorem is named after Barry Mitchell and Peter Freyd.
brand slug:
wiki
category slug:
encyclopedia
description:
Abelian categories, while abstractly defined, are in fact concrete categories of modules
original url:
https://en.wikipedia.org/wiki/Mitchell%27s_embedding_theorem
date created:
2004-02-03T22:25:36Z
date modified:
2024-08-31T06:09:00Z
main entity:
{"identifier":"Q1148215","url":"https://www.wikidata.org/entity/Q1148215"}
image:
fields total:
13
integrity:
15