This paper concerns two conditions, called right pp and generalized right pp, which are
generalizations of Baer rings and von Neumann regular rings. We study the subrings and …

A GENERALIZATION OF PP-RINGS AND pq-BAER RINGS Page 1 Glasgow Math. J. 48 (2006)
217–229. C 2006 Glasgow Mathematical Journal Trust. doi:10.1017/S0017089506003016. Printed …

In this paper we give counterexamples to the following questions:(1) Are commutative
reduced rings Baer?,(2) Are commutative von Neumann regular rings Baer?,(3) Are reduced …

Baer rings are rings in which the left (right) annihilator of each subset is generated by an
idempotent [6]. Closely related to Baer rings are left PP-rings; these are rings in which each …

In this paper we study non-commutative pp rings and Baer rings in relation to their quotient
rings. First, we investigate right pp rings and their classical quotient rings. It has been shown …

The property of a quasi-Baer∗-ring is extended to its∗-corner. The question when a∗-ring is
quasi-Baer has particular answers. Moreover, an Abelian (∗-Abelian) Baer∗-ring is a …

We investigate Ore extensions of Baer rings and pp-rings. Let α be an endomorphism and δ
an α-derivation of a ring R. Assume that R is an α-rigid ring. Then (1) R is a Baer ring if and …

In this paper we will define an ideal (NE (R)) which provides a link between the set of
nilpotents and the set of idempotents of a ring R. In the first section various properties of (NE …

The Regular Ring of a Finite Baer *-Ring Page 1 Chapter 8 The Regular Ring of a Finite Baer
*-Ring The present chapter is based on 181. 5 46. Preliminaries At the outset we assume that …

Extending the notion of a reduced ring, we call a right module M over a ring R a reduced
module if, for any m Є M and a€ R, ma= 0 implies mR Ma= 0. Various results of reduced …