Results 21 to 30 of about 555,775 (250)

Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products

open access: yesJournal of Mathematics, 2022
Let A be a unital C∗-algebra and X be a unitary Banach A-bimodule. In this paper, we characterize continuous generalized derivations and generalized Jordan derivations as form D:A⟶X through the action on zero product.
Abbas Zivari-Kazempour, Abasalt Bodaghi
doaj   +1 more source

Jordan (θ, θ)*- Derivation Pairs of Rings With Involution [PDF]

open access: yes, 2016
Let  R be a 6-torsion  free ring with involution , θ  is a mapping of R and let (d,g) : R→R be an additive mapping . In this paper  we will give the relation between (θ, θ)*-derivation pair and Jordan (θ, θ)*-derivation pair ...
Saed, Ikram A.
core   +2 more sources

ALGEBRAIC PROPERTIES OF JORDAN TRIPLE DERIVATIONS ON RING R

open access: yesBarekeng
Polynomial rings play a fundamental role in algebra, with wide-ranging applications in number theory, algebraic geometry, and analysis. A key method for studying ring structures is through derivations.
Rachma Allya Shieffa   +4 more
doaj   +1 more source

On Generalized Left Derivation on Semiprime Rings [PDF]

open access: yesEngineering and Technology Journal, 2016
Let R be a 2-torsion free semiprime ring. If R admits a generalizedleft derivation F associated with Jordan left derivation d, then R is commutative, if any one of the following conditions hold: (1) [d(x), F(y)] [x, y], (2) [d(x), F(y)] xoy, (3) d(x ...
A. Majeed, Shaima,a Yass, a B. Yass
doaj   +1 more source

On Higher N-Derivation Of Prime Rings

open access: yesمجلة بغداد للعلوم, 2014
The main purpose of this work is to introduce the concept of higher N-derivation and study this concept into 2-torsion free prime ring we proved that:Let R be a prime ring of char.
Baghdad Science Journal
doaj   +1 more source

Some conditions under which Jordan derivations are zero

open access: yesJournal of Taibah University for Science, 2017
In the current article, we obtain the following results: Let A be an algebra and P be a semi-prime ideal of A. Suppose that d:A→(A/P) is a Jordan derivation such that dim{d(a)|a∈A}≤1. If d(P)={0}, then d is zero.
Z. Jokar, A. Hosseini, A. Niknam
doaj   +1 more source

A CHARACTERIZATION OF DERIVATIONS AND AUTOMORPHISMS ON SOME SIMPLE ALGEBRAS

open access: yesUral Mathematical Journal, 2022
In the present paper, we study simple algebras, which do not belong to the well-known classes of algebras (associative algebras, alternative algebras, Lie algebras, Jordan algebras, etc.).
Farhodjon Arzikulov   +2 more
doaj   +1 more source

THE SUFFICIENT CONDITIONS FOR A MULTIPLICATIVE DERIVATION IN THE JORDAN RING TO BE ADDITIVE [PDF]

open access: yes
Derivation is a mapping from a set to itself. There are two types of derivations in rings: ordinary derivation and Jordan derivation. Given a triangular matrix ring T, a non-associative ring can be formed, known as a Jordan ring T.
Patty, Dyana   +2 more
core   +1 more source

Symmetry and Self-Duality in Categories of Probabilistic Models [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2012
This note adds to the recent spate of derivations of the probabilistic apparatus of finite-dimensional quantum theory from various axiomatic packages. We offer two different axiomatic packages that lead easily to the Jordan algebraic structure of finite ...
Alexander Wilce
doaj   +1 more source

Effects of Add‐On Icosapent Ethyl With Standard Treatment on Functional Outcomes and Inflammatory Biomarkers in Acute Ischemic Stroke: A Blinded Randomized Controlled Trial

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Ischemic stroke, a major cause of mortality and long‐term disability, results from the abrupt cessation of cerebral blood flow due to vascular occlusion or rupture. Icosapent Ethyl (EPA‐EE), approved for hypertriglyceridemia, has anti‐inflammatory and antithrombotic properties that may lessen ischemic damage.
Mitra Mahmoudi Meymand   +5 more
wiley   +1 more source

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