Results 1 to 10 of about 320 (83)
Multiplicative generalized derivations on Lie ideals in semiprime rings II [PDF]
, 2017 Let R be a semiprime ring and L is a Lie ideal of R such that L 6 not subset of Z(R) A map F : R -> R is called a multiplicative generalized derivation if there exists a map d : R -> R such that F(xy) = F(x)y + x d(y), for all x, y is an element of R ...
Gölbasi, Öznur, Koc, Emine
core +2 more sources
Asymptotic aspect of derivations in Banach algebras. [PDF]
J Inequal Appl, 2017 Roh J, Chang IS.
europepmc +2 more sources
Some commutativity criteria involving endomorphism conditions on prime ideals
Hacettepe Journal of Mathematics and Statistics, 2022 In this paper we initiate a new approach consisting to characterize the commutativity of a quotient ring R/P by endomorphisms of R satisfying some algebraic identities involving the prime ideal P.
L. Oukhtite
semanticscholar +1 more source
On The Identity d(x) = λx + ζ(x)
Journal of Al-Rafidain University College For Sciences ( Print ISSN: 1681-6870 ,Online ISSN: 2790-2293 ), 2021 The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R, where d a derivation on R and R has a cancellation property with identity.
M. Atteya, D. Resan
semanticscholar +1 more source
CLASSIFICATION OF SOME SPECIAL GENERALIZED DERIVATIONS
International Electronic Journal of Algebra, 2021 The purpose of the present paper is to classify generalized derivations satisfying more specific algebraic identities in a prime ring with involution of the second kind.
M. A. Idrissi, L. Oukhtite
semanticscholar +1 more source
Functional equations related to higher derivations in semiprime rings
Open Mathematics, 2021 We investigate the additivity and multiplicativity of centrally extended higher derivations and show that every centrally extended higher derivation of a semiprime ring with no nonzero central ideals is a higher derivation.
Ezzat O. H.
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.
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
Left Annihilator of Identities with Generalized Derivations in Prime and Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a noncommutative prime ring of char (R) ≠ 2, F a generalized derivation of R associated to the derivation d of R and I a nonzero ideal of R. Let S ⊆ R.
Rahaman Md Hamidur
doaj +1 more source
A Note on Amalgamated Rings Along an Ideal
Annales Mathematicae Silesianae, 2021 Ring properties of amalgamated products are investigated. We offer new, elementary arguments which extend results from [5] and [12] to noncommutative setting and also give new properties of amalgamated rings.
Nowakowska Marta
doaj +1 more source