… We explore conditions needed for a direct sum of Rickart modules to be Rickart and provide
… direct sum of copies of any Rickart module with C2 condition, is always a Rickart module. …

… 2.10 that a direct sum of d-Rickart modules is not d-Rickart, in general. In … a direct sum
of two or more d-Rickart modules is also d-Rickart. We first obtain a result on the relative d-Rickart …

… direct sum of cyclic modules M α over a commutative Dedekind domain, then M is a Rickart
module … only if End R (M) is a right Rickart ring (Theorem 5.6). It is shown that if is an arbitrary …

… We conclude this section with conditions which allow to a direct sum of CS-Rickart modules
(respectively, d-CS-Rickart modules) to be CS-Rickart (or d-CS-Rickart) (see Theorem 4, …

… We introduce and study the notion of wd-Rickart modules (ie modules M such that … direct
summand of M). We show that the class of rings R for which every right R-module is wd-Rickart …

… direct summand of a 7-Rickart module is 7-Rickart, we give an example to show that a direct
sum of 7-Rickart modules need not be 7-Rickart… -Rickart modules is closed under direct sums…

… consider this direct sum question for the related classes of Baer, quasi-Baer, and Rickart
modules. … for a direct sum of Baer, quasi-Baer, and Rickart modules to be Baer, quasi-Baer, and …

… Having this characterization in mind, we will present a new general module theoretic setting
of hereditary rings. We call a module M Σ-Rickart if every direct sum of copies of M is Rickart. …

… Next, we deal with direct sums of d-CS-Rickart modules. We begin … a direct sum of d-CS-Rickart
modules to be d-CS-Rickart. Proposition 2.20 Let a module M = ⊕i∈I Mi be a direct sum …

… 3, we study direct sums of (w)d-Rickart modules. We provide a characterization for a direct
sum of two d-Rickart modules to be dRickart. We also show that if M1,...,Mn are modules such …