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M n of ring (5 Marks) (b) Let (R,+,) and (R', +', '') be any two rings, let f: RR' be a ring homomorphism if Kerf={0} prove that f is one to one. (5 Marks)

M n of ring (5 Marks) (b) Let (R,+,) and (R', +', '') be any two rings, let f: RR' be a ring homomorphism if Kerf={0} prove that f is one to one. (5 Marks)

Elements Of Modern Algebra
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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M n of ring (5 Marks) (b) Let (R,+,) and (R', +', '') be any two rings, let f: RR' be a ring homomorphism if Kerf={0} prove that f is one to one. (5 Marks)
Transcribed Image Text:M n of ring (5 Marks) (b) Let (R,+,) and (R', +', '') be any two rings, let f: RR' be a ring homomorphism if Kerf={0} prove that f is one to one. (5 Marks)
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