Volume 18, Issue 51 (5-2005)
Abstract
For a fixed positive integer , we say a ring with identity is n-generalized right principally quasi-Baer, if for any principal right ideal of , the right annihilator of is generated by an idempotent. This class of rings includes the right principally quasi-Baer rings and hence all prime rings. A certain n-generalized principally quasi-Baer subring of the matrix ring are studied, and connections to related classes of rings (e.g., p.q.-Baer rings and n-generalized p.p. rings) are considered1
