Let A and B be abelian groups. (a) For each m > 0, AZ m A/mA.
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Let A and B be abelian groups.
(a) For each m > 0, A⊗Zm ≅ A/mA.
(b) Zm ⊗Zn ≅ Zc, where c = (m,n).
(c) Describe A⊗B, when A and Bare finitely generated.
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ANSWER a We can define a map A Zm AmA by a n a nA This map is bilinear and so it induces a homomorph...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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