A ring R is called “quasi-Baer” if the right annihilator of every right ideal is generated, as a
right ideal, by an idempotent. It can be seen that a quasi-Baer ring cannot be a right …

We define a ring R to be right c P-Baer if the right annihilator of a cyclic projective right R-
module in R is generated by an idempotent. This class of rings generalizes the class of right …

Throughout this paper R denotes an associative ring with unity. Recall from [Ka2) that R is a
Baer ring if the right annihilator of every nonempty subset of R is generated, as a right ideal …

We say a ring with identity is a generalized right (principally) quasi-Baer if for any (principal)
right ideal I of R, the right annihilator of In is generated by an idempotent for some positive …

A ring R with unity is called a (quasi-) Baer ring if the left annihilator of every (left ideal)
nonempty subset of R is generated (as a left ideal) by an idempotent. Armendariz has shown …

A ring R is called (right principally) quasi-Baer if the right annihilator of every (principal right)
ideal of R is generated by an idempotent. We study on the relationship between the quasi …

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 …

In this paper we will define an ideal (NE (R)) which provides a link between the set of
nilpotents and the set of idempotents of a ring R. In the first section various properties of (NE …

A ring R is called (quasi-) Baer if the right annihilator of every (ideal) nonempty subset of R is
generated, as a right ideal, by an idempotent of R. Armendariz has shown that for a reduced …

Let R be a ring. We consider left (or right) principal quasi-Baerness of the left skew formal
power series ring R [[x; α]] over R where α is a ring automorphism of R. We give a necessary …