Let R be a ring with identity; then there is a ring isomorphism Hom R (R,R)

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Let R be a ring with identity; then there is a ring isomorphism Hom_R(R,R) ≅ R^0P where Hom_Rdenotes left R-module homomorphisms). In particular, if R is commutative, then there is a ring isomorphism Hom_R(R,R) ≅ R.

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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; then there is a ring isomorphism Hom R (R,R)

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Let R HomRRR be the map defined by rx rx for all rx R ...View the full answer

Algebra Graduate Texts In Mathematics 73

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