The Reversibility Of A Class Of Baerspecial Rings

In1990, Habeb firstly proposed the zero commutative rings. A ringRis called zero commutative rings, if ab=0, then ba=0, for all a, b∈R. In1999, Cohn called the zero commutative rings as reversible rings. In2002, Marks found the condition that group rings to be reversible rings and studied the relationship between symmetric rings, reduced rings and reversible rings. In2010, M.Baser extended the definition of reversible rings. He gave the definition of a-reversible rings and strong reversible rings and studied some properties of the two rings. But there are no conclusions about the relationship between Baer rings and reversible rings. Based on these, this paper firstly studies the properties of the reversible rings and the Baer properties of fixed rings, skew group rings and Morita Context rings. Secondly, this paper discusses the conditions that the fixed rings, skew group rings and Morita Context rings respectively be the reversible rings. Finally, this paper gives the conditions that the Baer rings composing reversible rings and the conditions that reversible rings composing Baer rings.