CORRESPONDENCES OF CLOSED SUBMODULES There is a considerable body of research
dealing with correspondences between the lattice o Page 1 PROCEEDINGS OF THE AMERICAN …

Let R be a ring. A right R-module M is called “essentially compressible” if it embeds in each
of its essential submodules. Also a module XR is called “completely essentially …

Abstract A right R-module M is called coretractable (s-coretractable) if Hom (M/K, M) ≠ 0
Hom (M/K, M)≠ 0 for any proper submodule (supplement submodule) K of M. In this article …

Modules in Which Sums or Intersections of Two Direct Summands Are Direct Summands Page
1 Modules in Which Sums or Intersections of Two Direct Summands Are Direct Summands AN …

Generalizing Artinian rings, a ring R is said to have right restricted minimum condition (r.
RMC r. RMC, for short) if R/A is an Artinian right R-module for any essential right ideal A of …

In the theory of modules, an important role is played by retractable and coretractable
modules, which were introduced by Khuri (1979) and Amini, Ershad, and Sharif (2009) …

This paper contains new characterizations of SSPm. odules, SIP-modules, D 3-modules,
and C 3-modules. These characterizations are used for the proof of new and known results …

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 …

It is of obvious interest to know whether an algebraic property of modules is preserved by
direct sums of such modules. In this paper we provide a survey of this question for various …

In a recent paper, Türkoğlu have studied the rings admitting nonzero homomorphisms
between any two non-projective modules (property (T)). His work raises the following …