Exact sequence

An exact sequence is a sequence \[A_0 \stackrel{\lambda_1}{\to} A_1 \stackrel{\lambda_2}{\to} A_2 \stackrel{\lambda_3}{\to} \dotsc \stackrel{\lambda_n}{\to} A_n\] of homomorphisms between groups with operators $A_i$ such that the image of $\lambda_i$ is the kernel of $\lambda_{i+1}$.

This notion appears most often when the $A_i$ are modules.

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