6 Define f:Z- 42 by f(x) - 4x, for all x €Z. Then: (a) f is a ring epimorphism. (b) / is a ring homomorphism but it is not monomorphism. (c) fis not a ring homomorphism. (4) f is a ring homomorphism but it is not epimorphism.

6 Define f:Z- 42 by f(x) - 4x, for all x €Z. Then: (a) f is a ring epimorphism. (b) / is a ring homomorphism but it is not monomorphism. (c) fis not a ring homomorphism. (4) f is a ring homomorphism but it is not epimorphism.

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

6- Define f:Z- 42 by f(x) = 4x, for all x € Z. Then:
(a) f is a ring epimorphism.
(b) f is a ring homomorphism but it is not monomorphism.
(c) f is not a ring homomorphism.
(d) f is a ring homomorphism but it is not epimorphism.

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