Let R be a ring with identity and S the ring of all n X n matrices

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Let R be a ring with identity and S the ring of all n X n matrices over R. J is an ideal of S if and only if J is the ring of all n X n matrices over I for some ideal I in 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 03:05 AM

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Let R be a ring with identity and S the ring of all n X n matrices

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ANSWER Yes this statement is true To prove the statement we need to show two things If J is the ring of all n X n matrices over I for some ideal I in ...View the full answer

Algebra Graduate Texts In Mathematics 73

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