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 paper, we dualize the concept of {\Sigma}-Rickart modules as {\Sigma}-dual Rickart
modules. An R-module M is said to be {\Sigma}-dual Rickart if the direct sum of arbitrary …

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 …

Let $ R $ be an arbitrary ring with identity and $ M $ a right $ R $-module with $ S= $ End $
_R (M) $. In this paper we introduce dual $\pi $-Rickart modules as a generalization of $\pi …

We introduce the notions of T-dual Rickart and strongly T-dual Rickart modules. We provide
several characterizations and investigate properties of each of these concepts. It is shown …

Let R be a commutative ring with identity and M be an R-module. In this paper we
introducethe dual concepts of Pure Rickart modules and Pure𝜋-Rickart modulesas a …

We introduce and study the notion of w-Rickart modules (ie modules M such that for every
nonzero endomorphism phi of M, the kernel of phi is contained in a proper direct summand …

In this paper, we introduce a dual purely Rickart modules as a dual concept of purely Rickart
modules and a proper generalization to dual Rickart modules. Some characterizations are …

Let $ R $ be an arbitrary ring with identity and $ M $ a right $ R $-module with $ S= $ End $
_R (M) $. In this paper we introduce $\pi $-Rickart modules as a generalization of Rickart …

Abstract Let\(R\) be a ring. A right\(R\)-module\(M\) is called\(\mathrm {d}\)-Rickart if for every
endomorphism\(\varphi\) of\(M\),\(\varphi (M)\) is a direct summand of\(M\) and it is …