Encyclopedia > Short five lemma

  Article Content

Short five lemma

In mathematics, especially homological algebra and other applications of Abelian category theory, the short five lemma is a special case of the five lemma. It states that for the following commutative diagram (in any Abelian category), if the rows are exact, and if g and h are isomorphisms, then f is an isomorphism as well.

It follows immediately from the five lemma.



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
Museums in England

... Working Museum, Arundel Fishbourne Roman Palace West Yorkshire Museum of Rail Travel[?], Keighley and Worth Valley Railway National Museum of ...

 
 
 
This page was created in 39.1 ms