Encyclopedia > Chain complex

  Article Content

Chain complex

In homological algebra, a chain complex is a sequence of abelian groups or modules A0, A1, A2... connected by homomorphisms dn : An -> An-1, such that the composition of any two consecutive maps is zero: dn o dn+1 = 0 for all n. Chain complexes are mainly used to define homology and cohomology.

Examples from topology, group theory...



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
Grateful Dead

... McKernan and Bob Weir[?] from the Jug Champions joined by Bill Kreutzmann[?] and Phil Lesh, and in 1967 - the band's breakthrough year - another percussionist, Mickey ...

 
 
 
This page was created in 39.1 ms