A basic problem in ring theory is to investigate when a ring can be represented as the full
ring of endomorphisms of a suitable module. This problem in its full generality is quite …

A ring R is said to be a Baer (respectively, quasi-Baer) ring if the left annihilator of any
nonempty subset (respectively, any ideal) of R is generated by an idempotent. It is first …

We say a ring R is π-Baer if the right annihilator of every projection invariant left ideal of R is
generated by an idempotent element of R. In this paper, we study connections between the …

We introduce the notions of Baer and quasi-Baer properties in a general module theoretic
setting. A module M is called (quasi-) Baer if the right annihilator of a (two-sided) left ideal of …

In this paper we introduce the concept of Boolean near-rings. Using any Boolean ring with
identity, we construct a class of Boolean near-rings, called special, and determine left ideals …

Semiabelian rings, defined by the property that each of their idempotents is either left
semicentral or right semicentral, are one among several natural generalizations of abelian …

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 …

A ring R is called a right Ikeda-Nakayama ring (right IN-ring) if the left annihilator of the
intersection of any two right ideals is the sum of the two left annihilators. In this paper we …

1. Introduclion. If A is a finite von Neumann algebra then there exists a*-regular ring R which
coordinatizes A. This ring was constructed by Murray and yon Neumann [11] by enlarging A …