… We study d-CS-Rickart modules (ie modules M such that for every … CS-Rickart modules
over discrete valuation rings is fully determined. It is also shown that for a d-CS-Rickart R-module …

… the module need not to be a (semiprime) Goldie module. I would like to find the conditions
which characterize those modules … On the other hand, since we are working with modules, it is …

… Two papers [1] and [3] generalized the ACS-ring concept to modules in the same ways. In
[1], the authors used the terminology “ CS-Rickart” for this generalization. Unfortunately, at the …

… notion of purely Baer modules and purely Rickart modules were introduced and studied by
Atani, Khoramdel, and Pishhesari [5]. The notions of (dual) purely Rickart modules were also …

… -CS-Rickart if and only if N i is (dual) strongly M-CS-Rickart for … -CS-Rickart if and only if M i
is (dual) strongly self-CS-Rickart … ) strongly self-CS-Rickart modules over a Dedekind domain. …

… Let us also note that CS-Rickart objects and dual CS-Rickart objects extend the moduletheoretic
concepts of CS-Rickart and dual CS-Rickart modules studied by Abyzov, Nhan and …

… so-called CS-Rickart modules, which are defined as modules M such that … CS-Rickart
modules may be viewed as playing the role of extending modules in the world of Rickart modules…

… We show that M is a D4-module if and only if for each i ∈ I the module Mi is a D4-… We show
that M is a D4-module if and only if for each i GI the module Mi is a D4-module. This settles an …

… Also, once the notion of Rickart module was introduced [8], its dual naturally emerged [7]. In
… regularity to modules, we can find different approaches [6,12,13]. In [12] an R-module M is …

… CS-Baer for every right R-module M. If R is a … module is a direct sum of ds-CS-Baer R-modules.
Also, we show that R is a right perfect ring iff all countably generated free right R-modules …