… of generalized right (principally) quasi-Baer rings are not in general generalized right (principally)
quasi-Baer. We … reduced ring which is not pq-Baer (hence not generalized pq-Baer): …

… singular ideal of such * -rings. In Subsection 2.2, we show that the notion of a generalized
quasi-Baer *-ring is Morita invariant (ie, it passes to full matrix rings and corners), and passes …

… The class of quasi-Baer rings is a nontrivial generalization of … of matrix rings formed over
Baer or quasi-Baer rings. We … 248]: If R is a Baer*-ring, when is Mn (R) a Baer*-ring for all n …

… Thus the class of quasi-Baer rings seems to behave better than the class of Baer rings … In
this section we establish some elementary properties of quasi-Baer rings which are necessary …

… ring with unity is right principally quasi-Baer (… rings includes the biregular rings and is closed
under direct products and Morita invariance. The 2-by-2 formal upper triangular matrix rings …

… ring is a quasi-Baer ring. In [51], Pollingher and Zaks show that the class of quasi-Baer rings
is closed under n-by-n matrix rings and under n-by-n upper (or lower) triangular matrix rings. …

… quasi-Baer rings are indeed left-right symmetric by [11] and [8]. As a generalization of quasi-Baer
rings, … , JY Kim and JK Park introduced the concept of principally quasi-Baer rings in [4]. …

… 3, we provide the main results characterizing generalized matrix rings that are quasi-Baer,
right … of quasi-Baer rings if we consider the following properties on a generalized matrix ring K: …

… ring R[x] is a (left principally) quasi-Baer ring. In this paper, we generalize this result. …
monoid ring R♯G is a (left principally) quasi-Baer ring if and only if R is a Im(α)-(left principally) …

… ) right FI-extending right ring hulls for semiprime rings. From this result, we prove that right
principally quasi-Baer (ie, right pq-Baer) right ring hulls always exist for semiprime rings. This …