So the hardest part for me in this reading was working out the proof that while every field is an integral domain, only finite integral domains are necessarily fields. But I do find it interesting that in order to determine whether a ring, finite or infinite, is both an integral domain and a field, all one has to do is show that it is a field.
As far as reflection on the reading goes, I just think it's really cool that subtraction and exponential operations work on rings. Also, in thinking about division on rings, I think that division would be defined on a ring with multiplicative inverses.
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment