MuslimQ2: (a) Let I be an ideal of the ring R, prove that f(I) is an ideal of R', when f is ontohomomorphism from R into R'.(b) Prove that the ring of real numbers is embedding in the ring of the complexnumber.****

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Answered: Muslim Q2: (a) Let I be an ideal of the…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.3: The Characteristic Of A Ring

Problem 14E

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Muslim Q2: (a) Let I be an ideal of the ring R, prove that f(I) is an ideal of R', when f is onto homomorphism from R into R'. (b) Prove that the ring of real numbers is embedding in the ring of the complex number. ****