2 MAURICIO MEDINA-BÁRCENAS of M for all ϕ: M→ N. Then we can define a class of
modules R (M)={N| M is N-Rickart} and study the closure properties of this class. I want to …

Abstract Gangyong Lee, S. Tariq Rizvi, and Cosmin S. Roman studied Dual Rickart
modules. The main purpose of this paper is to define strong dual Rickart module. Let M and …

This dissertation is devoted to investigations in the theory of Rickart modules. We introduce
various notions related to the Rickart property in a general module theoretic setting …

The study of the endomorphism rings of modules and connections between a module and its
endomorphism ring have long been of interest. Of particular interest has been a quest of …

The notion of Rickart modules was defined recently. It has been shown that a direct sum of
Rickart modules is not a Rickart module, in general. In this paper we investigate the …

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

We study the notion (for categories of modules) dual to that of torsion radical and its
connections with projective modules. Torsion radicals in categories of modules have been …

In this article, we study the notion of closed Rickart modules. A right R-module M is said to
be closed Rickart if, for each, is a closed submodule of M. Closed Rickart modules is 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 give some characterizations of modules M over a ring R such that every
submodule has a unique closure relative to a hereditary torsion theory on Mod-R by using …