Extension Of (Quasi)-Baer Rings

On the basis of common Baer ring theory, (Quasi)-Baer ring property and it's extension condition are discussed. The extension of Azumaya algebra is emphatically reviewed, and find out the condition of the center of ring R become Baer ring was R be Quasi-Baer.We obtained the result that all Azumaya algebra which have Baer Center are Quasi-Baer ring.