In a cochain complex of modules
the module of -cocycles is the kernel of , which is a submodule of .
In a cochain complex of modules
the module of -cocycles is the kernel of , which is a submodule of .
This entry contributed by Margherita Barile
Barile, Margherita. "Cocycle." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Cocycle.html