A systematic exposition of Baer*-Rings, with emphasis on the ring-theoretic and lattice-
theoretic foundations of von Neumann algebras. Equivalence of projections, decompositio …

Residuation Theory aims to contribute to literature in the field of ordered algebraic
structures, especially on the subject of residual mappings. The book is divided into three …

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 …

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 …

On annihilator ideals of a polynomial ring over a noncommutative ring - ScienceDirect Skip to
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Since the discovery of the existence of the injective hull of an arbitrary module
independently in 1952 by Shoda and in 1953 by Eckmann and Schopf, there have been …

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 …

A ring R is called (quasi-) Baer if the right annihilator of every (ideal) nonempty subset of R is
generated, as a right ideal, by an idempotent of R. Armendariz has shown that for a reduced …

In this paper we develop the theory of generalized triangular matrix representation in an
abstract setting. This is accomplished by introducing the concept of a set of left triangulating …

In this paper we investigate the class of piecewise prime, PWP, rings which properly
includes all piecewise domains (hence all right hereditary rings which are semiprimary or …