In this work, we introduce dual Rickart (Baer) modules via the concept of preradicals. It is shown that W is τ -d-Rickart if and only if W = τ (W)⊕L such that τ (W) is a dual Rickart module. We prove that a module W is τ -d Baer if and only if W is τ -d-Rickart and W satisfies strongly summand sum property for d.s. submodules of W contained in τ (W). Via τ (RR), we characterize right τ -d Baer rings.