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Paper   IPM / M / 8681
School of Mathematics
  Title:   On one-sided ideals of rings of linear transformations
  Author(s):  B. R. Yahaghi (Joint with M. Radjabalipour)
  Status:   To Appear
  Journal: Bull. Iranian Math. Soc.
  Supported by:  IPM
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 one-sided ideals of the ring L(V) in terms of their rank-one idempotents. We use our result to characterize a division ring D in terms of the one-sided ideals of Mn(D). Some other consequences are presented.

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