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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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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