Show that the invariant factors of Z m Z n are (m,n) and [m,n] (the greatest

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Show that the invariant factors of Z_m⊕ Z_n are (m,n) and [m,n] (the greatest common divisor and the least common multiple) if (m,n) > 1 and mn if (m,n) = 1.

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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 03:51 AM

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Show that the invariant factors of Z m Z n are (m,n) and [m,n] (the greatest

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Let G Zm Zn Then every element of G can be written uniquely as a b where a Zm and b Zn Let d m n and ...View the full answer

Algebra Graduate Texts In Mathematics 73

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