Fields and homomorphisms
Not sure why, but I am having trouble with this one. I'd really appreciate it if someone is willing to help here. Please see the attached file.
Thank you
© BrainMass Inc. brainmass.com October 9, 2019, 9:03 pm ad1c9bdddfhttps://brainmass.com/math/linear-transformation/fields-homomorphisms-171539
Attachments
Solution Preview
Please see the attachment.
Proof:
(a) I define as , where and is a root of .
First, I claim that this mapping is well-defined.
Consider , then . Since , then . Then we have
.
So is well-defined.
Second, I claim that is a ...
Solution Summary
This provides an example of working with irreducible polynomials, fields, and homomorphisms.
$2.19