
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:If N and K are submodules of M. (i) The kernel of the natural
homomorphism N --> M/K is (N+K)/K. (ii) The kernel of the natural
homomorphism N--> M/K is N/(N intersection K). (iii) If N is contained in K
then the kernel of the natural homomorphism N/N --> M/K is K/N.
O Both (i) and (ii) are true and (iii) is not true.
Both (ii) and (iii) are true and (i) is not true.
Both (i) and (iii) are true and (ii) is not true.
O All (i),(ii) and (iii) are true.
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