Horseshoe lemma
id:
horseshoe-lemma-268-15035118
title:
Horseshoe lemma
text:
In homological algebra, the horseshoe lemma, also called the simultaneous resolution theorem, is a statement relating resolutions of two objects A ′ and A ″ to resolutions of
extensions of A ′ by A ″ . It says that if an object A is an extension of A ′ by A ″ , then a resolution of A can be built up inductively with the nth item in the resolution equal to the coproduct of the nth items in the resolutions of A ′ and A ″ . The name of the lemma comes from the shape of the diagram illustrating the
brand slug:
wiki
category slug:
encyclopedia
description:
Homological algebra statement
original url:
https://en.wikipedia.org/wiki/Horseshoe_lemma
date created:
date modified:
2022-09-24T05:25:01Z
main entity:
{"identifier":"Q5906080","url":"https://www.wikidata.org/entity/Q5906080"}
image:
fields total:
13
integrity:
14