A special type of injective module which is introduced by Ming is called p-injective if for
every a∈ R, every R-linear map from aR to M can be extended to a linear map from R to M …

The concept of right Rickart rings (or right pp rings) has been extensively studied in the
literature. In this article, we study the notion of Rickart modules in the general module …

Throughout this paper, all rings are associative rings with identity. The prime radical of a ring
R and the set of nilpotent elements in R are denoted by P (R) and N (R), respectively. In this …

A ring R is called a right WPF-ring (weak PF-ring) if R is a semiperfect right simple-injective
ring with essential right socle. The class of right WPF-rings is broader than that of right PF …

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 …

We investigate in this paper von Neumann regularity of rings whose simple singular right R-
modules are GP-injective. It is proved that a ring R is strongly regular if and only if R is a …

Let R be ring. A right/^-module M is said to be small, if M is small in some right/^-module
containing M. Clearly, any right^-module containing a non-zero injective module is not small …

We prove in this paper that fifteen classes of rings coincide with the class of rings named in
the title. One of them is the class of rings R such that X2= X for each R-ideal X: we shall refer …

In the previous paper [5] the author has studied semi-primary left (resp. right) QF-3 rings,
which is a ring A with the following property: there exists a faithful, projective, injective left …

C. Faith and J. Cozzens have shown that a ring, whose right proper cyclic modules are
injective, is either semisimple or a simple, right semihereditary, right Ore V-domain. They …