… a new result about retractable module. Several notions are used to obtain more implications
like category module, semi-primitive module, non-singular module and their interrelations. …

… This paper is a review of results on endomorphism-extendable modules, … An HNP ring \(R\)
is called a Dedekind prime Footnote 1 ring if every non-zero ideal of the ring \(R\) is invertible …

… (1) ⇐⇒ (2) It is easy to verify that every iso-retractable module is either singular or
nonsingular. So, the result follows from Proposition 4. (2) =⇒ (3) It follows from Proposition 10. …

… (1) ⇐⇒ (2) It is easy to verify that every iso-retractable module is either singular or
nonsingular. So, the result follows from Proposition 4. (2) =⇒ (3) It follows from Proposition 10. …

… Any ring R with unity has no zero divisors is called division if for all a in R is invertible. From
[… studied multiplication module with endomorphism rings which are integral domain and also, …

… of an R-module M and the properties of its endomorphism ring End R (M). … nonsingular
retractable R-module M, End R (M) is a right extending ring if and only if M is an extending module…

… A module M is said to be automorphism-extendable if every … its submodule can be extended
to an endomorphism of the … invertible ideals of the ring A are called maximal invertible ideals …

… Any ring R with unity has no zero divisors is called division if for all a in R is invertible. From
[… studied multiplication module with endomorphism rings which are integral domain and also, …

… call a ring strongly left modretractable if each left R-module is … in R, R is necessarily a
nonsingular ring. Therefore, Hom(S, R)=… a left R-module and write S for its endomorphism ring, …

… of rings (such as the matrix rings) are always constructed via the endomorphism rings of
certain modules, (iii) modules are closely and tightly connected to their endomorphism rings via …