Math and science::Algebra::Aluffi
Two new rings from polynomial ring quotients
Using the below theorem:
- 1. Polynomial evaluation
-
There is a
so that sends any polynomial to .- [What is
?] - [What is
?] - [Is
an isomorphism of groups or rings?]
- [What is
- 2. Complex ring,
-
There is a
so that makes isomorphic to as a ring.- What is
? - How is the multiplication operation transferred to
? See below.
- What is
Let
Then this function induces an isomorphism of abelian groups: