Chain complex
= Chain complex
{title2=$(C_\bullet,d)$}
{wiki}
A chain complex is a sequence of abelian groups or modules and homomorphisms $d_i:C_i\to C_{i-1}$ satisfying $d_{i-1}d_i=0$. Its homology is $H_i(C)=\ker d_i/\operatorname{im}d_{i+1}$.
= Chain complex
{title2=$(C_\bullet,d)$}
{wiki}
A chain complex is a sequence of abelian groups or modules and homomorphisms $d_i:C_i\to C_{i-1}$ satisfying $d_{i-1}d_i=0$. Its homology is $H_i(C)=\ker d_i/\operatorname{im}d_{i+1}$.