Answer to Question #74575 in Abstract Algebra for Rajni

Question #74575

Check whether f : (4 Z, +) --> (Z_4 , +) : f (4m) = bar m is a group of homomorphism or not.If it is, what does the Fundamental Theorem of Homomorphism gives us in this case? If f is not a Homomorphism, obtain the range of f ?

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