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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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:04 AM

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If A, B are abelian groups and m, n integers such that mA = 0 = nB,

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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

Algebra Graduate Texts In Mathematics 73

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