We say a ring with unity is right principally quasi-Baer (or simply, right pq-Baer) if the right
annihilator of a principal right ideal is generated (as a right ideal) by an idempotent. This …

We introduce the notions of Baer and quasi-Baer properties in a general module theoretic
setting. A module M is called (quasi-) Baer if the right annihilator of a (two-sided) left ideal of …

A module M is called extending if every submodule of M is essential in a direct summand.
We call a module FI-extending if every fully invariant submodule is essential in a direct …

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 …

Rickart property for modules has been studied recently. In this article, we introduce and
study the notion of dual Rickart modules. A number of characterizations of dual Rickart …

In this paper we investigate the class of piecewise prime, PWP, rings which properly
includes all piecewise domains (hence all right hereditary rings which are semiprimary or …

A ring R is called Armendariz if whenever the product of any two polynomials in R [x] over R
is zero, then so is the product of any pair of coefficients from the two polynomials. Such rings …

We say a ring R is π-Baer if the right annihilator of every projection invariant left ideal of R is
generated by an idempotent element of R. In this paper, we study connections between the …

For a ring R, we investigate and determine “minimal” right essential overrings (right ring
hulls) belonging to certain classes which are generated by R and subsets of the central …

We call a ring R a right SA-ring if for any ideals I and J of R there is an ideal K of R such that
r (I)+ r (J)= r (K). This class of rings is exactly the class of rings for which the lattice of right …