If F is a free module over a ring with identity such that F has a basis
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If F is a free module over a ring with identity such that F has a basis of finite cardinality n ≥ 1 and another basis of cardinality n + 1, then F has a basis of cardinality m for every m ≥ n (m ϵ N*).
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Let R be a ring with identity and F be a free module over R with a basis of finite cardinality n 1 and another basis of cardinality n 1 We want to sho...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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