17. Given that (I, 1.) in an ideal of the ring (R,+,), show that a) whenever (R,1,) is commutative with identity, then so is the quotiont ring (R/1,+,), b) the ring (R/1,+,) may have divisors of zero, even though (R, +, ) does not have any, c) if (R, +, ) is a prineipal ideal ring, then so is the quotient ring (R/I, +, ).

17. Given that (I, 1.) in an ideal of the ring (R,+,), show that a) whenever (R,1,) is commutative with identity, then so is the quotiont ring (R/1,+,), b) the ring (R/1,+,) may have divisors of zero, even though (R, +, ) does not have any, c) if (R, +, ) is a prineipal ideal ring, then so is the quotient ring (R/I, +, ).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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