In this paper, we introduce and study the concept of CS-Rickart modules, that is a module
analogue of the concept of ACS rings. A ring R is called a right weakly semihereditary ring if …

We investigate the question whether the pq-Baer center of a ring R can be extended to R.
We give several counterexamples to this question and consider some conditions under …

Let α be an automorphism of a ring R. We study the skew Armendariz of Laurent series type
rings (α-LA rings), as a generalization of the standard Armendariz condition from …

Primitive and prime rings with s.Baer or related modules All rings are associative with a nonzero
unity, usually denoted by R; a Page 1 Journal of Algebra and Its Applications Vol. 23, No. 3 …

In this paper, we introduce the concept of $ S $-B\'ezout ring, as a generalization of B\'ezout
ring. We investigate the relationships between $ S $-B\'ezout and other related classes of …

SK Berberian raised the open problem``Can every weakly Rickart $* $-ring be embedded in
a Rickart $* $-ring? with preservation of right projections?" Berberian has given a partial …

Von Neumann regular rings, hereditary rings, semi-simple Artinian rings, self-injective
regular rings are characterized. Rings which are either strongly regular or semi-simple …

We say a ring with identity is a generalized right (principally) quasi-Baer if for any (principal)
right ideal I of R, the right annihilator of In is generated by an idempotent for some positive …

FURTHER CHARACTERIZATIONS OF ARTINIAN RINGS1 Page 1 Acta Math. Hungar. 102 (1-2)
(2004), 85-89. FURTHER CHARACTERIZATIONS OF ARTINIAN RINGS1 A. GHORBANI (Isfahan) …

Throughout this paper all rings are associative with identity and all modules are unital.
Recall from [20] that R is a Baer ring if the right annihilator of every nonempty subset of R is …