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Paper IPM / M / 8681  


Abstract:  
Let D be a division ring, V a right or left vector
space over D, and L(V) the ring of all right
(resp. left) linear transformations on V. We characterize
certain onesided ideals of the ring L(V) in
terms of their rankone idempotents. We use our result to
characterize a division ring D in terms of the onesided ideals of
M_{n}(D). Some other consequences are presented.
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