Exercise: Prove that the homomorphism f:R R of the ring R onto the ring R' is isomorphism if and only if ker f = {0}.

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 28E
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SIII and ence
Exercise:
Prove that the homomorphism f:R R of the ring R onto the ring
R' is isomorphism if and only if ker f = {0}.
Theorem:
Transcribed Image Text:SIII and ence Exercise: Prove that the homomorphism f:R R of the ring R onto the ring R' is isomorphism if and only if ker f = {0}. Theorem:
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