17. Given that (I,t.) in an ideal of the ring (R, +,), whow that a) whenever (R, 1,) in commutative with identity, then so is the quotient ring (R/1,+,), b) the ring (R/I,+,) may have divisors of...

Extracted text: 17. Given that (I,t.) in an ideal of the ring (R, +,), whow that a) whenever (R, 1,) in commutative with identity, then so is the quotient ring (R/1,+,), b) the ring (R/I,+,) may have divisors of zero, even though (R, +,) does not have any, c) if (R, +,) in a principal ideal ring, then so is the quotient ring (R/I,+,). ive rims with il.untity and kt Nlonete the set of