How do you see this? $End_{\mathbb{C}} ( \mathbb{C}[x])$
As $M_{n}(\mathbb{C})=End_{\mathbb{C}} ( \mathbb{C}[x])$, so it just a matric with basis of polyonial?
Take the weyl algebra $A_1=\{ {\sum_{i=0}^{n} f_i}(x) \partial^i \ : f_{i}(x) \in \mathbb{C}, n\in \mathbb{N}\}$.
It says this weyl algebra A_1 is a subring of $End_{\mathbb{C}} ( \mathbb{C}[x])$so does that mean weyl algebra just a big matrix with complex numbers in them?
Also, is this the hardest example of a non commutative ring? As I hate to see tricker stuff than this :<
I used to like rings.