fies the descending chain condition modulo its radical. In his paper, Kothe shows among
other things that each minimal non-nil right ideal of an arbitrary ring contains an idempotent …

Replacing invertibility with quasi-invertibility in Bass' first stable range condition we discover
a new class of rings, the QB-rings. These constitute a considerable enlargement of the class …

We associate reduced and full C*-algebras to arbitrary rings and study the inner structure of
these ring C*-algebras. As a result, we obtain conditions for them to be purely infinite and …

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 …

We extend the notion of a purely infinite simple C*-algebra to the context of unital rings, and
we study its basic properties, specially those related to K-Theory. For instance, if $ R $ is a …

This paper is intended as a sequel to “Finite Rickart C* algebras and their
properties”(Studies in Analysis, Adu. in Math. 4 (1980), 171-19.5), referred to throughout as I …

1. Introduction. J. Dixmier has obtained an elegant and useful characterization of the positive
part of a two-sided ideal in a yon Neumann algebra [3; 10-13]. In this paper we shall …

CS rings and nakayama permutations Page 1 COMMUNICATIONS IN ALGEBRA, 25(12),
3787-3795 (1997) CS RINGS AND NAKAYAMA PERMUTATIONS Mohamed F. Yousif …

L _1 identities and M is a left S-, right T-bimodule. For example any limited pp-ring is
isomorphic to a this type of matrix ring. Note that such a ring R need not be CS-ring in …

Lifting units in self-injective rings and an index theory for Rickart C-algebras Page 1 Pacific
Journal of Mathematics LIFTING UNITS IN SELF-INJECTIVE RINGS AND AN INDEX …