DUAL RICKART (BEAR) MODULES AND PRERADICALS

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.