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In mathematics, the Fitting lemma – named after the mathematician Hans Fitting – is a basic statement in abstract algebra. Suppose M is a module over some ring. If M is indecomposable and has finite length, then every endomorphism of M is either an automorphism or nilpotent.
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displaystyle every module mathrm im indecomposable endomorphism ker lemma algebra ring 2k version representation length nilpotent two fitting basic statement
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