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 December 15, 2022, 6:46 pm ad1c9bdddf
Please see the attachment.
(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 ...
This provides an example of working with irreducible polynomials, fields, and homomorphisms.