We say that a*-ring R is a generalized quasi-Baer*-ring if for any ideal I of R, the right
annihilator of I n is generated, as a right ideal, by a projection, for some positive integer n …

A Baer ring is a ring in which every right (and left) annihilator ideal is generated by an
idempotent. Generalizing quite naturally from the fact that the endomorphism ring of a vector …

We first study the quasi-Baerness of R [x; σ, δ] over a quasi-Baer ring R when σ is an
automorphism of R, obtaining an affirmative result. We next show that if R is a right …

Every ring R with minimum condition on left ideals can be completely described by means of
a certain semi-primitive subring Sand a number of positive integers fl'f'J.'......, In. By Brauer …

A ring R is called (left principally) quasi-Baer if the left annihilator of every (principal) left
ideal of R is generated by an idempotent. We show that if R is (left principally) quasi-Baer …

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 …

The rings of this paper are assumed to have relations of orthogonality defined on them. Such
relations are uniquely determined by complete boolean algebras of ideals. Using the Stone …

A ring R of linear transformations of a vector space M over a division ring D is called
distinguished iff (1) the lattice J of all R-submodules of M is a distributive sublattice of the …

We say a ring with unity is right principally quasi-Baer (or simply, right pq-Baer) if the right
annihilator of a principal right ideal is generated (as a right ideal) by an idempotent. This …

In the first section of this paper we extend the construction of the regular ring C, which was
defined in the work of SK Berberian [1],[2, Chapter 8]. The follow-ing theorem, the central …