(See attached file for full problem description with proper symbols).
For part one....the first is in rational numbers, and second is in integers.
? Verify that is a sub field of and that is a sub ring of .
? Let R be a commutative ring and I an ideal of R. let and be elements of R. prove that is then
? Let M be an ideal of a commutative ring R and let with . Let . Prove that J is an ideal of R.© BrainMass Inc. brainmass.com March 4, 2021, 6:37 pm ad1c9bdddf
This solution is comprised of a detailed explanation to discuss rings and fields.