We are interested in studying when the class of local modules is Baer–Kaplansky. We
provide an example showing that even over a commutative semisimple ring R, we can find …

The notion of a Baer ring, introduced by Kaplansky, has been extended to that of a Baer
module using the endomorphism ring of a module in recent years. There do exist some …

We investigate the concepts of projection invariant $ t $-extending modules and projection
invariant $ t $-Baer modules, which are generalized to those $\pi $-extending and $ t $-Baer …

Analogous to left pq-Baer property of a ring [GF Birkenmeier, JY Kim and JK Park, Principally
quasi-Baer rings, Comm. Algebra 29 (2001) 639–660], we say a right R-module M is endo …

We introduce and study the notions of quasi-dual Baer modules, FI-T-non-cosingular
modules and FI-K-modules. We show that a module M is a quasi-dual Baer and FI-K-module …

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 t-lifting modules and t-dual Baer modules, which are
generalizations of lifting modules. It is shown that an amply supplemented module M is t …

The notion of Baer rings has been of interest for several decades. Recently, the notion of
Baer property was introduced in the module theoretical setting [26]. In this survey paper we …

Extending the notion of a reduced ring, we call a right module M over a ring R a reduced
module if, for any m Є M and a€ R, ma= 0 implies mR Ma= 0. Various results of reduced …

We investigate some properties of Rickart modules defined by Rizvi and Roman. Let R be
an arbitrary ring with identity and M be a right R-module with S= EndR (M). A module M is …