In this work, we characterize some rings in terms of dual self-CS-Baer modules (briefly, ds-
CS-Baer modules). We prove that any ring R is a left and right artinian serial ring with …

We introduces the concept of dual Rickart (Baer) modules in relation to the cosingular
submodule. The paper demonstrates that a module is considered to be Z-dual Rickart only if …

We introduce and study the notion of wd-Rickart modules (ie modules M such that for every
nonzero endomorphism ϕ of M, the image of ϕ contains a nonzero direct summand of M) …

Fully invariant submodules play an important designation in studying the structure of some
known modules such as (dual) Rickart and (dual) Baer modules. In this work, we introduce F …

Let R be a commutative ring with nonzero identity and S⊆ R be a multiplicatively closed
subset. In this paper, we study S-Artinian rings and finitely S-cogenerated rings. A …

A ring R is called a right ACS-ring if the annihilator of any element in R is essential in a direct
summand of R. In this note we will exhibit some elementary but important examples of ACS …

Let R be an arbitrary ring with identity and M a right R-module with S= End R (M). Let F be a
fully invariant submodule of M and I− 1 (F) denotes the set {m∈ M: Im⊆ F} for any subset I of …

In this paper, we introduce and study the concept of CS-Rickart modules, that is a module
analogue of the concept of ACS rings. A ring R is called a right weakly semihereditary ring if …

In this work, we introduce dual Rickart (Baer) modules via the con-cept of preradicals. It is
shown that W is-d Rickart if and only ifW=(W) L such that (W) is a dual Rickart module. We …

The work of this thesis has close connections with dual-Baer modules, dual-Rickart
modules, which are dual concepts of Baer modules and Rickart modules, respectively. Baer …