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

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 …

REPRESENTATIONS OF ALGEBRAS BY CONTINUOUS SECTIONS TABLE OF
CONTENTS Page Preface and acknowledgments 292 Introduction 293 §1. Page 1 …

Throughout this paper R denotes an associative ring with unity. Recall from [Ka2) that R is a
Baer ring if the right annihilator of every nonempty subset of R is generated, as a right ideal …

We introduce the notion of 𝒦-nonsingularity of a module and show that the class of 𝒦-
nonsingular modules properly contains the classes of nonsingular modules and of polyform …

If R is an ADL with 0, a minimal prime ideal belonging to an ideal I of R is defined. If I is an
ideal of R, S is a multiplicatively closed subset of R such that I∩ F=∅, then it is proved that …

We investigate connections between arithmetic properties of rings and topological
properties of their prime spectrum. Any property that the prime spectrum of a ring may or may …

For a ring R, we investigate and determine “minimal” right essential overrings (right ring
hulls) belonging to certain classes which are generated by R and subsets of the central …

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 …