Let R be a ring with identity. An R-module A is injective if and only if for

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Let R be a ring with identity. An R-module A is injective if and only if for every left ideal L of Rand R-module homomorphism g : L → A, there exists a ϵ A such that g(r) = ra for every r ϵ L.

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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 R be a ring with identity. An R-module A is injective if and only if for

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One direction of the statement follows directly from the definition of injective modules Suppose A i...View the full answer

Algebra Graduate Texts In Mathematics 73

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