Results 1 to 10 of about 43 (43)

A Result on Prime Rings with Generalized Derivations

Discussiones Mathematicae - General Algebra and Applications, 2021
In this paper we investigate the following result. Let R be a prime ring, Q its symmetric Martindale quotient ring, C its extended centroid, I a nonzero ideal of R.
Shujat Faiza, Khan Shahoor
doaj   +1 more source

On multiplicative centrally-extended maps on semi-prime rings

Journal of Taibah University for Science, 2022
In this paper, we show that for semi-prime rings of two-torsion free and 6-centrally torsion free, given a multiplicative centrally-extended derivation δ and a multiplicative centrally-extended epimorphism ϕ we can find a central ideal K and maps ...
M. S. Tammam EL-Sayiad, A. Ageeb
doaj   +1 more source

Jordan triple (α,β)-higher ∗-derivations on semiprime rings

Demonstratio Mathematica, 2023
In this article, we define the following: Let N0{{\mathbb{N}}}_{0} be the set of all nonnegative integers and D=(di)i∈N0D={\left({d}_{i})}_{i\in {{\mathbb{N}}}_{0}} a family of additive mappings of a ∗\ast -ring RR such that d0=idR{d}_{0}=i{d}_{R}. DD is
Ezzat O. H.
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Commutativity with Derivations of Semiprime Rings

Discussiones Mathematicae - General Algebra and Applications, 2020
Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be a derivation mapping.
Atteya Mehsin Jabel
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A Note on Multiplicative (Generalized) (α, β)-Derivations in Prime Rings

Annales Mathematicae Silesianae, 2019
Let R be a prime ring with center Z(R). A map G : R →R is called a multiplicative (generalized) (α, β)-derivation if G(xy)= G(x)α(y)+β(x)g(y) is fulfilled for all x; y ∈ R, where g : R → R is any map (not necessarily derivation) and α; β : R → R are ...
Rehman Nadeem ur, Al-omary Radwan M., Muthana Najat Mohammed   +2 more
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Commutativity of Prime Rings with Symmetric Biderivations

Discussiones Mathematicae - General Algebra and Applications, 2018
The present paper shows some results on the commutativity of R: Let R be a prime ring and for any nonzero ideal I of R, if R admits a biderivation B such that it satisfies any one of the following properties (i) B([x, y], z) = [x, y], (ii) B([x, y], m) +
Reddy B. Ramoorthy, Reddy C. Jaya Subba
doaj   +1 more source

On the relation between one-sided duoness and commutators

Open Mathematics
This article studies the structure of rings RR over which the 2×22\times 2 upper triangular matrix rings with the same diagonal are right duo, denoted by D2(R){D}_{2}\left(R).
Kim Nam Kyun, Lee Yang
doaj   +1 more source

Semicommutative Involution Rings

Journal of Discrete Mathematical Sciences and Cryptography, 2021
Utsanee Leerawat
exaly  

Commutativity Theorems for Banach Algebras.

Michigan Mathematical Journal, 1990
Bertram Yood
exaly  

On the Commutativity of Prime Rings With Derivation

Quaestiones Mathematicae, 1999
Howard E Bell
exaly