If A and B are cyclic modules over R of nonzero orders r and s respectively, and

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If A and B are cyclic modules over R of nonzero orders r and s respectively, and r is not relatively prime to s, then the invariant factors of A⊕B are the greatest common divisor of r,s and the least common multiple of r,s.

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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 and B are cyclic modules over R of nonzero orders r and s respectively, and

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Since A and B are cyclic modules of orders r and s respectively there exist elements a in A and b in ...View the full answer

Algebra Graduate Texts In Mathematics 73

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