We call a ring $ R $ generalized right $\pi $-Baer, if for any projection invariant left ideal $ Y
$ of $ R $, the right annihilator of $ Y^ n $ is generated, as a right ideal, by an idempotent, for …

A $\ast $-ring $ R $ is called a $\pi $-Baer $\ast $-ring, if for any projection invariant left ideal
$ Y $ of $ R $, the right annihilator of $ Y $ is generated, as a right ideal, by a projection. In …

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 …

Throughout this paper all rings are associative with identity and all modules are unital.
Recall from [20] that R is a Baer ring if the right annihilator of every nonempty subset of R is …

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 …

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 investigate the question whether the pq‐Baer center of a ring R can be extended to R.
We give several counterexamples to this question and consider some conditions under …

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 …

In this article, we study some idempotent-structures as c P-Baer rings and I-prime rings.
Moreover, we define c P-Baer*-rings and I-*-prime*-rings as involutive versions of c P-Baer …

An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r
(I)= eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n …