We study the transfer of (dual) relative CS-Rickart properties via functors between abelian
categories. We consider fully faithful functors as well as adjoint pairs of functors. We give …

We introduce relative CS-Rickart objects in abelian categories, as common generalizations
of relative Rickart objects and extending objects. We study direct summands and (co) …

In this paper, we investigate some properties of SIP, SSP and CS-Rickart modules. We give
equivalent conditions for SIP and SSP modules; establish connections between the class of …

In this paper we introduce and study the concept of strongly Rickart modules and strongly
CS-Rickart modules as a stronger than of Rickart modules [8] and CS-Rickart modules [3] …

We introduce (dual) strongly relative CS-Rickart objects in abelian categories, as common
generalizations of (dual) strongly relative Rickart objects and strongly extending (lifting) …

The notion of $\mathcal {K} $-extending modules was defined recently as a proper
generalization of both extending modules and Rickart modules. Let $ M $ be a right $ R …

We study d-CS-Rickart modules (ie modules M such that for every endomorphism φ of M, the
image of φ lies above a direct summand of M) over Dedekind domains. The structure of d …

We investigate relative CS-Baer objects in abelian categories in relationship with other
relevant classes of objects such as relative Baer objects, extending objects, objects having …

The concepts Rickart rings and Baer rings have their roots in the theory of linear operators in
Hilbert space. The concept of Baer rings was introduced by I. Kaplansky in 1955 and the …

Motivated by the work of Abyzov and Nhan on (dual) CS-Rickart modules [1], we introduced
in [3](dual) CS-Rickart objects in abelian categories as a common generalization of (dual) …