(a) Let R be a ring with identity. The matrix ring Mat n R is prime if...

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(a) Let R be a ring with identity. The matrix ring Mat_nR is prime if and only if R is prime.

(b) If R is any ring, then P(Mat_nR) = Mat_nP(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: Aug 03, 2023 08:28 AM

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(a) Let R be a ring with identity. The matrix ring Mat n R is prime if...

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a Statement a is false The correct statement is Let R be a ring with identity The matrix ring MatnR is prime if and only if R is a division ring also ...View the full answer

Algebra Graduate Texts In Mathematics 73

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