We introduce and study relative Rickart objects and dual relative Rickart objects in abelian
categories. We show how our theory may be employed in order to study relative regular …

A module $ M $ is said to be coretractable if there exists a nonzero homomorphism of every
nonzero factor of $ M $ into $ M $. We prove that all right (left) modules over a ring are …

Let R be a ring with identity and M be an R-module with unity. In this paper we introduce the
notion of C-coretractable modules. Some basic properties of this class of modules are …

In this paper, we study mod-retractable modules, CSL-modules, fully Kasch modules, and
their interrelations. Right fully Kasch rings are described. It is proved that for a module M of …

Let R be a ring with identity and M be a right unitary R-module. In this paper we introduce
the notion of strongly coretractable modules. Some basic properties of this class of modules …

Open Access proceedings Journal of Physics: Conference series Page 1 Journal of Physics:
Conference Series PAPER • OPEN ACCESS Weakly Coretractable Modules To cite this article …

Let MR be a module with S= End (MR). We call a submodule K of MR annihilator-small if K+
T= M, T a submodule of MR, implies that l (S)(T)= 0, where l (S) indicates the left annihilator …

ON SOME CLASSES OF SEMIARTINIAN RINGS Page 1 Siberian Mathematical Journal, Vol.
53, No. 5, pp. 763–771, 2012 Original Russian Text Copyright c 2012 Abyzov AN ON SOME …

In this paper, we introduce two new notions related with coretrectable modules which are
called essentially coretrectable and weakly essentially coretrectable modules. Some basic …

A new generalizations of retractable modules relative to a submodule are introduced where
a module Script M is called retractable module relative to a submodule N of M if for all non …