Without using Lemma 3.9 prove that: (a) Every homomorphic image of a divisible abelian group is divisible.
Question:
Without using Lemma 3.9 prove that:
(a) Every homomorphic image of a divisible abelian group is divisible.
(b) Every direct summand of a divisible abelian group is divisible.
(c) A direct sum of divisible abelian groups is divisible.
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a Let f G H be a group homomorphism where G is a divisible abelian group Let h H and n be a positive ...View the full answer
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Related Book For 
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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