is an R-module homomorphism snomorphism if and only if k

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 9E: 9. For any let denote in and let denote in . a. Prove that the mapping defined by is a...
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if f: M - M' is an R-module homomorphism,
then f is a monomorphism if and
if Ker
only
(f) = {0}.
Transcribed Image Text:if f: M - M' is an R-module homomorphism, then f is a monomorphism if and if Ker only (f) = {0}.
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