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Exact sequence

From AoPSWiki

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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See also

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