Let M, and M2 be two R-modules and N, and N2 be two submodules of M, and M2 respectively. Also, let f: M, → M2 be a homomorphism and let h: M,/ker ()→ M2 be an onto function defined by h(x + Ker(f)) = ƒ(x) for x E M1. Then, M1 = M2. M1/N1 = M2/N2 O This option O This option None of the choices M1/Ker(f) = M2
Let M, and M2 be two R-modules and N, and N2 be two submodules of M, and M2 respectively. Also, let f: M, → M2 be a homomorphism and let h: M,/ker ()→ M2 be an onto function defined by h(x + Ker(f)) = ƒ(x) for x E M1. Then, M1 = M2. M1/N1 = M2/N2 O This option O This option None of the choices M1/Ker(f) = M2
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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ecs.google.com/forms/d/e/1FAlpQLSeQ7YpdXvPMg4TR4xQ2G2BLFUu18_WYgJFtWBPFTi4gnB7uw/formResponse
Let M, and M2 be two R-modules and N, and N2 be two submodules of M, and M2
respectively. Also, let f: M, → M2 be a homomorphism and let h: M,/ker () → M2 be
an onto function defined by h(x + Ker(f)) = ƒ(x) for x E M1. Then,
M1 = M2.
M1/N1 = M2/N2
O This option
This option
None of the choices
M1/Ker(f) = M2
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