Consider the ringhomomorphism : I→ R defined as(a) Show that is a ring homomorphism.(b) Use FIT for rings to show that I/JR as rings.y× ( [ ; ² ]) = -y=x-Y.

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Answered: Consider the ring homomorphism : I→ R…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.2: Ring Homomorphisms

Problem 13E

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Consider the ring homomorphism : I→ R defined as (a) Show that is a ring homomorphism. (b) Use FIT for rings to show that I/JR as rings. y × ( [ ; ² ]) = - y =x-Y.