DUAL RICKART (BAER) MODULES AND PRERADICALS

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