This paper contains new and known results on homomorphisms that are close to regular.
The main results are presented with proofs. All rings are assumed to be associative and with …

Let M and N be right R-modules. Hom (M, N) is called regular if for each f∈ Hom (M, N),
there exists g∈ Hom (N, M) such that f= fgf. Let [M, N]= Hom R (M, N). We prove that if M is …

Let A be a left and right Artinian ring with an yl-bimodule Q such that both aQ and QA are
finitely generated, soc (Q¿)= top (AÄ) and soc (^ Q)= top (Such a bimodule Q is called a QF …

Let $ R $ be a commutative ring and let $ S $ be an $ R $-algebra. It is well-known that if $ N
$ is an injective $ R $-module, then $\operatorname {Hom} _R (S, N) $ is an injective $ S …

In this paper, we prove that the Bass class with respect to a semidualizing bimodule C
contains all FP-injective S-modules. We introduce the definition of C-FP-injective modules …

Several papers find conditions on a ring R in order for certain properties of modules to be
preserved under direct sums, and direct products. Thus we know when direct sums of …

In this note, a necessary and sufficient condition for a trivial extension to be a left pp-ring is
obtained. As an application, we determine when a trivial Morita context is a left pp-ring, and …

In this paper we extend the concept of injectivity from the category of modules to that gamma
modules. An module M is called injective if for any module B and submodule A of B, any …

This review paper is concerned with modules in which all automorphisms (endomorphisms)
of submodules can be extended to endomorphisms of the entire module. We consider old …

Endomorphisms of free modules as sums of four quadratic endomorphisms Page 1
Endomorphisms of free modules as sums of four quadratic endomorphisms Simion Breaz …