ON STRICTLY GENERALIZED P-QUASI-BAER RINGS

Abstract

A ring R is called strictly generalized right p-quasi-Baer if for any

n

 


 

̸= 0 and the right annihilator of x R is generated by an idempotent. The class of strictly right generalized right p-quasi-Baer rings is a new class of generalized right p-quasi-Baer rings and contains right principally quasi- Baer rings. In this paper, many properties of these rings and relations to another kinds of rings are studied, the closeness of this class of rings and some relative classes under direct products or direct sums is investigated.