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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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
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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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