Commit 2022-11-14 20:05 b8e1f0f7
View on Github →feat(linear_algebra/free_module): lemmas on ideal quotient of a free module over a PID (#17103)
This PR shows we can write the quotient by an ideal of S
which is a finite free extension over a PID R
, as a product of quotients of R
by principal ideals. As a useful corollary, nonzero quotients of a finite ℤ
-module are finite types.
This is very useful in the context of ideal norms.