Commit 2020-08-19 17:44 bd5552a3
View on Github →feat(ring_theory/polynomial/basic): Isomorphism between polynomials over a quotient and quotient over polynomials (#3847)
The main statement is polynomial_quotient_equiv_quotient_polynomial
, which gives that If I
is an ideal of R
, then the ring polynomials over the quotient ring I.quotient
is isomorphic to the quotient of polynomial R
by the ideal map C I
.
Also, mem_map_C_iff
shows that map C I
contains exactly the polynomials whose coefficients all lie in I