Hi ... I just needed clarification.
Say we have a ring R, and we form the polynomial ring R[x]. What are the requirements/restrictions for the variable x?
I've been doing some reading, and from what I'm getting, it can essentially be anything ... is this right?
I get that it's a variable, but I was wondering what the "domain" is ... which you kinda answered. I did some reading, I get what a transcendental element is ... so just to be clear, x should be transcendental over R?
If x is not transcendental over R, what would happen?
I'm sorry if these are basic questions, but I'm learning this on my own, no classes or qualified teachers to help me out