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I've been reading about 'flat module' in Dummit and foote algebra book.

It is a R-module that preserves exactness after tensoring it to any exact sequence of R-module. (i.e., It preserves injectivity.)

I'm wondering why its name is 'flat'.

I guess it is geometric object which is somehow 'flat' in algebraic geometry.

I tried to find articles about it, But I couldn't.

Can someone help me?

Thanks!

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