The consistent way of investigating rings with involution, briefly*-rings, is to study them in the
category of*-rings with morphisms preserving also involution. In this paper we continue the …

The property of a quasi-Baer∗-ring is extended to its∗-corner. The question when a∗-ring is
quasi-Baer has particular answers. Moreover, an Abelian (∗-Abelian) Baer∗-ring is a …

In this paper we will define an ideal (NE (R)) which provides a link between the set of
nilpotents and the set of idempotents of a ring R. In the first section various properties of (NE …

A ring R with unity is called a (quasi-) Baer ring if the left annihilator of every (left ideal)
nonempty subset of R is generated (as a left ideal) by an idempotent. Armendariz has shown …

On *-Essential Ideals and Biideals of Rings with Involution Page 1 Quaestiones Mathematicae
25(2002), 67–72. cO 2002 NISC Pty Ltd, www.nisc.co.za ON *-ESSENTIAL IDEALS AND …

In this paper we give counterexamples to the following questions:(1) Are commutative
reduced rings Baer?,(2) Are commutative von Neumann regular rings Baer?,(3) Are reduced …

R is called a Baer ring if the left annihilator of every nonempty subset of R is a direct
summand of RR. R is said to be a left AFG ring in case the left annihilator of every nonempty …

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 …

In this note we investigate ℵ0-injectivity of rings and modules and review the literature
around this topic. We observe that several characterizations of rings by injectivity can be …

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 …