Isomorphic in C

• May 12th 2010, 10:13 AM
apple2010
Isomorphic in C
Prove that R[x]/(x^2+1) is isomorphic to C
• May 12th 2010, 11:15 AM
Bruno J.
What do you think?

What does a typical element of $\mathbb{R}[x]/(x^2+1)$ look like?
• May 13th 2010, 01:46 AM
Swlabr
Quote:

Originally Posted by Bruno J.
What do you think?

What does a typical element of $\mathbb{R}[x]/(x^2+1)$ look like?

As a minor aside, but also a minor hint, what are the roots of the polynomial you are quotienting out...?