This thesis is based on the article ”Reflexive Property of Rings” written by T. K. Kwak and Y.Lee. Already, the reflexive property for ideals introduced by Mason, and then this concept was generalized by Kim and Baik. Suppose is a unitary ring. is called reflexive, if implies for . Note that every semiprime ring is reflexive, and also for an ideal of a fully idempotent ring (i.e., for every ideal ), is reflexive . It is proved that a (right idempotent) reflexive ring which is not semiprime (resp., reflexive), can always be constructed from any semiprime (resp., reflexive) ring. It is also proved that the reflexive condition is Morita invariant and that the right quotient ring of a reflexive ring is reflexive. Let ? be a multiplicatively closed subset of a ring consisting of central regular elements, then is reflexive if and only if is reflexive. It is shown that both the polynomial ring and the power series ring over a reflexive ring are idempotent reflexive.We obetain additionally that the quasi-Armendarize property and reflexive property in a ring do not imply each other. Then we give an example that the idempotent reflexive ring property is not left-right symmetric. It is also shown that semiprime, reflexive, and idempotent reflexive properties are equi
