1) So basically an integral domain is when there are no zero divisors? Why do we have to specify that 1R does not equal 0R? And for a field to exist, why do we need to specify that when ax=1R has a solution, a does not equal 0? I didn't really see how the proof is sufficient for Theorem 3.2.
2) I feel a lot more confident with rings and it is cool to see how they are defined in so many different ways.
No comments:
Post a Comment