Fatemeh Karimi - Department of Mathematics, Payame Noor University, P.O.Box ۱۹۳۹۵-۳۶۹۷ Tehran, Iran.
Alireza Najafizadeh - Department of Mathematics, Payame Noor University, P.O.Box ۱۹۳۹۵-۳۶۹۷ Tehran, Iran.

Let V be a right vector space over a division ring D and L(V ) be the ring of all rightlinear transformations on V: In this talk, some results related to the characterization andproperties of one-sided ideals of the ring L(V ) which have been obtained over the past decadesare reviewed. Moreover, some outlines for the continuation of the subject under investigationis presented.

linear transformation, ideal, reducible