If A is an abelian group and n > 0 an integer such that na = 0
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If A is an abelian group and n > 0 an integer such that na = 0 for all a ϵ A, then A is a unitary Zn-module, with the action of Zn on A given by K̅a = ka, where k ϵ Z and k|→ K̅ ϵ Zn under the canonical projection Z → zn.
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ANSWER Breaking down the statement Ais an abelian group This means that A is a group under addition ...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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