In the category of abelian groups, show that the group A 1 X A 2 ,
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In the category α of abelian groups, show that the group· A1 X A2, together with the homomorphisms L1 : A1 → A1 X A2 and L2 : A2 → A1 X A2 (as in the Example preceding Definition 2.2) is a coproduct for { A1,A2}.
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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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