Let F be a free module of infinite rank a over a ring R that has the

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Let F be a free module of infinite rank a over a ring R that has the invariant dimension property. For each cardinal β such that O ≤ β ≤ α, F has infinitely many proper free submodules of rank β.

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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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Let F be a free module of infinite rank a over a ring R that has the

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Let be a cardinal such that 0 and let F be a free Rmodule of rank a with the invariant dimension pro...View the full answer

Algebra Graduate Texts In Mathematics 73

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