Mason introduced the reflexive property for ideals, and then this concept was generalized by
Kim and Baik, defining idempotent reflexive right ideals and rings. In this article, we …

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 …

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 ringRis said to be rightP-injective if every homomorphism of a principal right ideal toRis
given by left multiplication by an element ofR. This is equivalent to saying thatlr (a)= Rafor …

ON THE REPRESENTATION THEORY OF RINGS IN MATRIX FORM Page 1 PACIFIC
JOURNAL OF MATHEMATICS Vol. 100, No. 1, 1982 ON THE REPRESENTATION THEORY …

For a ring R and a right R-module M, a submodule N of M is said to be δ-small in M if,
whenever N+ X= M with M/X singular, we have X= M. If there exists an epimorphism p: P→ M …

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