The aim of this paper is twofold. Firstly, to give short proofs of the celebrated results of Rudd
(1970), De Marco (1972), Brookshear (1977), Neville (1990), and Vechtomov (1996) with the …

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 …

We introduced and studied GF‐regular modules as a generalization of π‐regular rings to
modules as well as regular modules (in the sense of Fieldhouse). An R‐module M is called …

On pp structural matrix rings Page 1 Linear Algebra and its Applications 436 (2012) 3692–3700
Contents lists available at SciVerse ScienceDirect Linear Algebra and its Applications journal …

Abstract A right R-module N is called GP-flat if for any a∈ R, there exists a positive integer n
(depending on a) such that the sequence 0→ N⊗ Ran→ N⊗ R is exact. A left R-module M is …

A right module M over a ring R is called feebly Baer if, whenever xa= 0 with x∈ M and a∈ R,
there exists e2= e∈ R such that xe= 0 and ea= a. The ring R is called feebly Baer if RR is a …

Let R be a ring. M is said to be a minannihilator left R-module if r M l R (I)= IM for any simple
right ideal I of R. A right R-module N is called simple-flat if Nl R (I)= l N (I) for any simple right …

It is well known that the Rickart property of rings is not a left-right symmetric property. We
extend the notion of the left Rickart property of rings to a general module theoretic setting …

We introduce the notions of IDS modules, IP modules, and Baer* modules, which are new
generalizations of von Neumann regular rings, PP rings, and Baer rings, respectively, in a …