Let Mat n R be the ring of n X n matrices over a ring R. Then
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Let MatnR be the ring of n X n matrices over a ring R. Then for each n ≥ 1:
(a) (MatnR)[x] ≅ MatnR[x].
(b) (MatnR)[[x]]"' Mat,.R[[x]].
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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
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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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