answersLogoWhite

0

To prove a ring is commutative, one must show that for any two elements of the ring their product does not depend on the order in which you multiply them. For example, if p and q are any two elements of your ring then p*q must equal q*p in order for the ring to be commutative.

Note that not every ring is commutative, in some rings p*q does not equal q*p for arbitrary q and p (for example, the ring of 2x2 matrices).

User Avatar

Wiki User

12y ago

Still curious? Ask our experts.

Chat with our AI personalities

ProfessorProfessor
I will give you the most educated answer.
Chat with Professor
EzraEzra
Faith is not about having all the answers, but learning to ask the right questions.
Chat with Ezra
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin

Add your answer:

Earn +20 pts
Q: How do you prove a Ring to be commutative?
Write your answer...
Submit
Still have questions?
magnify glass
imp