Let Mat n R be the ring of n X n matrices over a ring R. Then

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Let Mat_nR be the ring of n X n matrices over a ring R. Then for each n ≥ 1:

(a) (Mat_nR)[x] ≅ Mat_nR[x].

(b) (Mat_nR)[[x]]"' Mat,.R[[x]].

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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 03:51 AM

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Let Mat n R be the ring of n X n matrices over a ring R. Then

Question:

Step by Step Answer:

a The statement MatnRx MatnRx means that the polynomial ring with coefficients being n x n matrices over the ring R is isomorphic to the polynomial ring with coefficients being elements from the ring ...View the full answer

Algebra Graduate Texts In Mathematics 73

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