Answered: Check whether the function f: A → B is…

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

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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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