Results 51 to 60 of about 83 (83)

Approximation of additive functional equations in NA Lie C*-algebras

open access: yesDemonstratio Mathematica, 2018
In this paper, by using fixed point method, we approximate a stable map of higher *-derivation in NA C*-algebras and of Lie higher *-derivations in NA Lie C*-algebras associated with the following additive functional ...
Wang Zhihua, Saadati Reza
doaj   +1 more source

Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

open access: yesOpen Mathematics
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj   +1 more source

Notes on near-ring ideals with (?, ? )-derivation

open access: yes, 2015
In the present paper, we extend some well known results concerning derivations of prime near-rings in [4], [5] and [13] to (σ, τ )−derivations and semigroup ideals of prime near-rings.
Öznur Gölbaşı, Hasret Yazarlı
core  

On Generalized Derivations of Semiprime Rings

open access: yes, 2010
The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R , we obtain R contains a non-zero central ideal .
Mehsin Jabel Atteya
core  

Cofinite derivations in rings [PDF]

open access: yes
A derivation d : R → R is called cofinite if its image Im d is a subgroup of finite index in the additive group R of an associative ring R. We characterize left Artinian (respectively semiprime) rings with all non-zero inner derivations to be cofinite.
Artemovych, O. D.
core  

239 σ-Lie Ideals with Derivations as Homomorphisms and Anti-homomorphisms

open access: yes, 2007
Let R be a 2-torsion free σ-prime ring, U a nonzero σ-square closed Lie ideal of R and d a derivation of R which commutes with σ. If d acts as a homomorphism or an anti-homomorphism on U, Mathematics Subject Classification: 16W10, 16W25 ...
L Oukhtite, L Taoufiq, S Salhi
core  

Higher derivations and a theorem by herstein

open access: yes, 2004
In this paper we extend to the higher derivations a well-known result proved by Herstein concerning derivations in prime rings. We prove results which imply that every Jordan higher derivation of a 2-torsion-free semiprime ring is a higher derivation ...
Haetinger, Claus, Ferrero, Miguel
core  

Jordan Triple Higher Derivations on Prime Rings

open access: yes, 2015
In this paper, we develop some important results relating to the concepts of triple higher derivation and Jordan triple higher derivation on ring R. We show that under certain conditions on R, every Jordan triple higher derivation on R is triple higher ...
Salih, Salah Mehdi, Haetinger, Claus
core  

A Generalized Higher Reverse Left (respectively Right) Centralizer on Prime Gamma-Rings

open access: yes, 2019
This study introduces the concepts of generalized higher reverse left (respectively right) centralizer , Jordan generalized higher reverse left (respectively right) centralizer and Jordan triple generalized higher reverse left (respectively right ...
Salih, Salah Mehdi   +1 more
core  

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