Let F be a field and R = Mn(F) the ring of n×n matrices with
entires...
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Let F be a field and R = Mn(F) the ring of n×n matrices withentires in F. Prove that R has no two sided ideals except (0) and(1).
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Let be a two sided ideal in We show that where denotes the identity matrix Since there exists a nonzero matrix Let Then by applying some elementary row and column operations onwe can
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