Check whether the function f: A → B is or is not a homomorphism of ring A in ring B in the following cases: a) A = Z, B = Z, f (x) = x + 1 b) A = Z, B = Z, f (x) = 2x

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 10E: Let R be a commutative ring with characteristic 2. Show that each of the following is true for all...
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Check whether the function f: A → B is or is not a homomorphism of ring A in ring B in the following cases:

a) A = Z, B = Z, f (x) = x + 1

b) A = Z, B = Z, f (x) = 2x

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