Dual Rickart (Baer) modules and preradicals

In this work, we introduce dual Rickart (Baer) modules via the con-cept of preradicals. It is shown that W is  -d Rickart if and only ifW =  (W)  L such that  (W) is a dual Rickart module. We provethat a module W is  -d Baer if and only if W is  -d Rickart and Wsatises strongly summand sum property for d.s. submodules of Wcontained in  (W). Via  (RR), we characterize right  -d Baer rings.

Keywords:

preradical , dual Rickart module ,  -d Rickart module ,  -d Baer module