PRINCIPALLY QUASI-BAER RINGS AND GENERALIZED PRINCIPALLY QUASI-BAER RINGS

Abstract

In this paper, we investigate the question whether the p.q.-Baer center of a ring R can be extended to R. We give several counterexamples this question and consider some conditions under which the answers of this may be affirmative. The concept of a generalized p.q.-Baer property which is a generalization of Baer property of a ring is also introduced.