About: Local criterion for flatness

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In algebra, the local criterion for flatness gives conditions one can check to show flatness of a module.

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  • In algebra, the local criterion for flatness gives conditions one can check to show flatness of a module. (en)
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  • Given a morphism of finite type between Noetherian schemes, is étale if and only if for each x in X, f is an analytically local isomorphism near x; i.e., with , is an isomorphism. (en)
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  • Proposition (en)
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  • In algebra, the local criterion for flatness gives conditions one can check to show flatness of a module. (en)
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  • Local criterion for flatness (en)
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