On quasi-Baer rings

GF Birkenmeier, JY Kim, JK Park - Contemporary Mathematics, 2000 - books.google.com
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 …

Hulls of semiprime rings with applications to C∗-algebras

GF Birkenmeier, JK Park, ST Rizvi - Journal of Algebra, 2009 - Elsevier
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 …

Quasi-Baer-Ring Characterization of Leavitt Path Algebras

M Ahmadi, A Moussavi - Siberian Mathematical Journal, 2024 - Springer
We say that a graded ring (-ring) is a graded quasi-Baer ring (graded quasi-Baer-ring) if, for
each graded ideal of, the right annihilator of is generated by a homogeneous idempotent …

Generalized quasi-Baer -rings and Banach -algebras

M Ahmadi, N Golestani, A Moussavi - Communications in Algebra, 2020 - Taylor & Francis
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 …

GRAPH CHARACTERISATION OF THE ANNIHILATOR IDEALS OF LEAVITT PATH ALGEBRAS

LIA VAŠ - Bulletin of the Australian Mathematical Society, 2023 - cambridge.org
GRAPH CHARACTERISATION OF THE ANNIHILATOR IDEALS OF LEAVITT PATH
ALGEBRAS Page 1 Bull. Aust. Math. Soc. (First published online 2024), page 1 of 10 ∗ doi:10.1017/S0004972723001466 …

*-Baer property for rings with involution

UA Aburawash, M Saad - Studia Scientiarum Mathematicarum …, 2016 - akjournals.com
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 …

[PDF][PDF] On biregular, IFP and quasi-Baer*-rings

UA Aburawash, M Saad - East-West J. Math, 2014 - researchgate.net
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 …

Generalized Rickart-rings

M Ahmadi, A Moussavi - Siberian Mathematical Journal, 2021 - Springer
As a common generalization of Rickart ∗-rings and generalized Baer ∗-rings, we say that a
ring R with an involution ∗ is a generalized Rickart ∗-ring if for all x∈R the right annihilator …

Generalized Baer-Rings

M Ahmadi, A Moussavi - Siberian Mathematical Journal, 2023 - Springer
We say that a-ring is a generalized Baer-ring if, for each nonempty subset of, the right
annihilator is generated as a right ideal by a projection for some positive integer depending …

Idempotent-prime ideals and Baer-type rings with involution

M Saad, UA Aburawash - Communications in Algebra, 2024 - Taylor & Francis
In this article, we study some idempotent-structures as c P-Baer rings and I-prime rings.
Moreover, we define c P-Baer*-rings and I-*-prime*-rings as involutive versions of c P-Baer …