We introduce and investigate weak relative Rickart objects and dual weak relative Rickart
objects in abelian categories. Several types of abelian categories are characterized in terms …

Let R be a ring and let M be an R-module with S= End _R (M) S= End R (M). The module M
is called quasi-dual Baer if for every fully invariant submodule N of M,{ϕ ∈ S ∣ Im ϕ ⊆ N\} …

Weak relative Rickart objects generalize relative Rickart objects in abelian categories. We
study how such a property is preserved or reflected by fully faithful functors and adjoint pairs …

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

In this paper, we give new categorical characterizations of (dual-) Baer modules and then
several applications of them are presented. Among other things, it is proved that a module …

The identification problem of an inclusion is considered in the paper. The inclusion is
unknown subdomain of a given physical region. The available information on the inclusion …

Since 2004, Baer modules have been considered by many authors as a generalization of
the Baer rings. A module MR is called Baer if every intersection of the kernels of …

An R-module M is called c-retractable if there exists a nonzero homomorphism from M to any
of its nonzero complement submodules. In this paper, we provide some new results of c …

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 …

Let R be a ring and let M be an R-module with S= End R (M). The module M is called quasi-
dual Baer if for every fully invariant submodule N of M,{ϕ∈ S∣ I m ϕ⊆ N}= e S for some …