Theorems · Definition · commutative algebra

Algebra.norm

(R : Type u_1) → {S : Type u_2} → [inst : CommRing R] → [inst_1 : Ring S] → [Algebra R S] → S →* R

The norm of an element s of an R-algebra is the determinant of (*) s.

Defined in

Mathlib.RingTheory.Norm.Defs

Cited by

155 results in Mathlib

Foundations

Depth 126 from the axioms, rests on 4,342 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingAlgebra