- #1
Icebreaker
Let R be a commutative ring and let I be an ideal in R.
1. If every ideal in R is principal, then every ideal in R/I is principal.
2. If every ideal in R/I is principal, then every ideal in R is principal.
I must prove or disprove if either is true or false. Can someone tell me whether either is true or false so I can know how to proceed?
1. If every ideal in R is principal, then every ideal in R/I is principal.
2. If every ideal in R/I is principal, then every ideal in R is principal.
I must prove or disprove if either is true or false. Can someone tell me whether either is true or false so I can know how to proceed?