Results 61 to 70 of about 62,478 (178)

A Generalization of Von Neumann Regular Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2009
In this paper, we introduce a new ring which is a generalization of Von Neumann  regular rings and we call it a centrally regular ring. Several properties of this ring are proved and we have extended many properties of regular rings to centrally regular ...
Adil Jabbar
doaj   +1 more source

The Jacobson Radical for Analytic Crossed Products

Journal of Functional Analysis, 2001
We characterise the (Jacobson) radical of the analytic crossed product of C_0(X) by the non-negative integers (Z_+), answering a question first raised by Arveson and Josephson in 1969. In fact, we characterise the radical of analytic crossed products of C_0(X) by (Z_+)^d.
Donsig, Allan P., Katavolos, Aristides, Manoussos, Antonios   +2 more
openaire   +4 more sources

ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS [PDF]

Journal of Algebraic Systems, 2019
Let $R$ be a ring (not necessarily commutative) with nonzero identity. We define $Gamma(R)$ to be the graph with vertex set $R$ in which two distinct vertices $x$ and $y$ are adjacent if and only if there exist unit elements $u,v$ of $R$ such that $x+uyv$
M. Rezagholibeigi, A. R. Naghipour
doaj   +1 more source

Gyűrűk radikáljairól II. [PDF]

, 1969
This is the second in the series of expository articles by the author concerning radicals of rings. This article deals with the Jacobson radical of rings. fPart I is reviewed above [#6889].
Szász, Ferenc Andor
core  

Serial functors, Jacobson radical and representation type

Journal of Pure and Applied Algebra, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Prest, Mike, Schröer, Jan
openaire   +2 more sources

A note on comaximal ideal graph of commutative rings

AKCE International Journal of Graphs and Combinatorics, 2020
Let be a commutative ring with identity. The comaximal ideal graph of is a simple graph with its vertices are the proper ideals of R which are not contained in the Jacobson radical of , and two vertices and are adjacent if and only if .
S. Kavitha, R. Kala
doaj   +1 more source

Jacobson radicals of nest algebras in factors [PDF]

Proceedings of the American Mathematical Society, 1993
Definition. Let β \beta be a nest in a separably acting type I I ∞ {\text {I}}{{\text {I}}_\infty } factor M \mathcal {M} . An element P ∈ β ∖ {
openaire   +1 more source

A Note on Weakly Semiprime Ideals and Their Relationship to Prime Radical in Noncommutative Rings

Journal of Mathematics
In this paper, we introduce the concept of weakly semiprime ideals and weakly n-systems in noncommutative rings. We establish the equivalence between an ideal P being a weakly semiprime ideal and R−P being a weakly n-system.
Alaa Abouhalaka
doaj   +1 more source

On Weakly (2, ϱ)-Ideals in Noncommutative Rings

Journal of Mathematics
In this paper, we investigate weakly 2,ϱ-ideals (w-2,ϱ-ideals) in noncommutative rings, where ϱ denotes a special radical. We demonstrate, supported by counterexamples, that these ideals serve as generalizations of weakly ϱ-ideals and 2,ϱ-ideals ...
Hatice Çay
doaj   +1 more source

The Krull radical, k-primitive rings, and critical rings

International Journal of Mathematics and Mathematical Sciences, 1982
We generalize results on the Krull radical, k-primitive rings, and critical rings from rings with identity to rings which do not necessarily contain identity.
Ralph Tucci
doaj   +1 more source