# Rings (just starting)

• Feb 18th 2011, 04:09 PM
DanielThrice
Rings (just starting)
I'm working with elementary rings, and my professor gave me about ten of these to start but it seems like a lot of work with how he managed it. I know you guys don't answer homework so I chose one my professor solved to help me compare so I can do the others. Any help would be greatly appreciated, the groups were easy but the rings are a little more difficult for me to grasp.

Consider the set R = {a + b (SQRT 2): a, b are in Z}
Prove that R is a subring of R.
Is R commutative?
Does R have identity?
Is R an integral domain?
Is R a division ring?
Is R a skew fi eld?
Is R a field?
• Feb 19th 2011, 12:48 AM
FernandoRevilla
Quote:

Originally Posted by DanielThrice
I know you guys don't answer homework so I chose one my professor solved to help me compare so I can do the others.

If your professor has already solved the problem, perhaps it would be better for you to comment what particular doubts have you had.

Fernando Revilla