Let M be a module over a ring with identity and F be a fully invariant submodule of M. A
module M is an F-CS-Rickart module if⁻ ¹ (F) is an essential submodule of a direct …

In this work we introduce the concept of rationally injective module, which is a proper
generalization of (essentially)-injective modules. Several properties and characterizations …

We investigate some properties of Rickart modules defined by Rizvi and Roman. Let R be
an arbitrary ring with identity and M be a right R-module with S= EndR (M). A module M is …

Let R be a ring with identity and M be a right unitary R-module. In this paper we introduce
the notion of strongly coretractable modules. Some basic properties of this class of modules …

Abstract Gangyong Lee, S. Tariq Rizvi, and Cosmin S. Roman studied Dual Rickart
modules. The main purpose of this paper is to develop the properties Dual Rickart modules …

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 …

Let A be a class of some right R‐modules that is closed under isomorphisms, and let M be a
right R‐module. Then M is called A‐D3 if, whenever N and K are direct summands of M with …

Let R be a ring and let ΩR be the set of maximal right ideals of R. An R-module M is called
an sd-Rickart module if for every nonzero endomorphism f of M, Imf is a fully invariant direct …

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) …

In this article we introduce and study the concept of α-almost Artinian modules. We show that
each α-almost Artinian module M is almost Artinian (ie, every proper homomorphic image of …