mathlib
5fe29816 - feat(ring_theory): lemmas on algebra norm (#18298)

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2 years ago
feat(ring_theory): lemmas on algebra norm (#18298) This PR includes some results on the algebra norm needed for the ideal norm: * `algebra.norm R (0 : S) = 0` under weaker conditions on `R` and `S` * use `module.free` and `module.finite` instead of explicit bases in `algebra.norm_eq_zero_iff` / generalize from vector spaces over a field to free modules over a ring * the norm map between localizations is equal to the norm over the base fields
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