Question: Let A, B, and C be additive groups and suppose that the sequence is exact. Show that a. j maps B onto C b. i

Let A, B, and C be additive groups and suppose that the sequence 0 A B C 0

is exact. Show that 

a. j maps B onto C 

b. i is an isomorphism of A into B 

c. C is isomorphic to B/i[A]

0 A B C 0

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a The map C 0 had kernel C which must by exactness at C be the image jB that ... View full answer

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