If A, B are abelian groups and m, n integers such that mA = 0 = nB,
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If A, B are abelian groups and m, n integers such that mA = 0 = nB, then every element of Hom(A,B) has order dividing (m, n).
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Let f HomA B and let a A Then n fa fna f0 0 so fa is an el...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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