International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 16, Article ID 45837, 11 pages
doi:10.1155/IJMMS/2006/45837

Generalized Baer rings.

Abstract

We investigate the question whether the p.q.-Baer center of a ring R can be extended to R. We give several counterexamples to this question and consider some conditions under which the answer 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.