Results 91 to 100 of about 1,169,182 (223)
Permuting triderivations of prime and semiprime rings
The purpose of this paper is to prove some results concerning permuting triderivations and permuting generalized triderivations on prime and semiprime rings which partially extend some results contained in [9] and [10].
H. Yazarlı
semanticscholar +1 more source
Derivations of higher order in semiprime rings
Let R be a 2-torsion free semiprime ring with derivation d. Supposed d2n is a derivation of R, where n is a positive integer. It is shown that if R is (4n−2)-torsion free or if R is an inner derivation of R, then d2n−1=0.
Jiang Luh, Youpei Ye
doaj +1 more source
Semi r-ideals of commutative rings
For commutative rings with identity, we introduce and study the concept of semi r-ideals which is a kind of generalization of both r-ideals and semiprime ideals.
Khashan Hani A., Celikel Ece Yetkin
doaj +1 more source
On Orthogonal Generalized Derivations of Semiprime -Rings
In this paper, we study the orthogonality of two generalized derivations in semiprime G-rings. Some results are obtained in connection with ideals of semiprime G-rings and using left annihilator which is taken to be zero. GANIT J. Bangladesh Math.
K. Dey, S. K. Saha, A. C. Paul
semanticscholar +1 more source
Dependent Elements of Derivations on Semiprime Rings
We characterize dependent elements of a commuting derivation d on a semiprime ring R and investigate a decomposition of R using dependent elements of d.
Faisal Ali, Muhammad Anwar Chaudhry
doaj +1 more source
Prime Structures in a Morita Context
In this paper, we study on the primeness and semiprimeness of a Morita context related to the rings and modules. Necessary and sufficient conditions are investigated for an ideal of a Morita context to be a prime ideal and a semiprime ideal.
Calci, Mete Burak +3 more
core
A Commutativity theorem for semiprime rings [PDF]
AbstractIt is shown that if R is a semiprime ring with 1 satisfying the property that, for each x, y ∈ R, there exists a positive integer n depending on x and y such that (xy)k − xkyk is central for k = n,n+1, n+2, then R is commutative, thus generalizing a result of Kaya.
openaire +2 more sources
Some Equations in Rings Involving Semiprime Ideals and Multiplicative Generalized Semiderivations
This paper examines the commutativity of the quotient ring F/Y by utilizing specific differential identities in a general ring F that contains a semiprime ideal Y. This study particularly focuses on the role of a multiplicative generalized semiderivation
A. Hummdi +3 more
semanticscholar +1 more source
Hyperideal theory in ordered Krasner hyperrings
In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
doaj +1 more source
On commutativity of prime and semiprime rings with generalized derivations
Let $R$ be a prime ring, extended centroid $C$ and $m, n, k \geq1$ are fixed integers. If $R$ admits a generalized derivation $F$ associated with a derivation $d$ such that $(F(x)\circ y)^{m}+(x\circ d(y))^{n}=0$ or $(F(x)\circ_{m} y)^{k} + x\circ_{n} d ...
MD Hamidur Rahaman
doaj +1 more source

