Results 1 to 10 of about 2,309,305 (310)

Left centralizers and isomorphisms of group algebras [PDF]

open access: bronzePacific Journal of Mathematics, 1952
The principal result (Theorem 1) of Part I states that, conversely, every left centralizer is a convolution with a regular measure. Important auxiliary theorems (3 and 4) furnish a characterization of the right translations (up to scalar factors of unit modulus), and show that in the strong operator topology any left centralizer may be approximated by ...
J. G. Wendel
semanticscholar   +5 more sources

Multiplicativity of Left Centralizers forcing additivity

open access: diamondBoletim da Sociedade Paranaense de Matemática, 2014
Summary: A multiplicative left centralizer for an associative ring \(R\) is a map satisfying \(T(xy) = T (x) y\) for all \(x\), \(y\) in \(R\). \(T\) is not assumed to be additive. In this paper, we deal with the additivity of the multiplicative left centralizers in a ring which contains an idempotent element.
T. El Sayiad   +2 more
semanticscholar   +8 more sources

Generalized Higher Left Centralizer of Prime Γ-Rings

open access: diamondJOURNAL OF ADVANCES IN MATHEMATICS, 2022
In this paper we introduce the concepts of generalized higher left centralizer and generalized Jordan higher left centralizer of  Γ-rings M as well as we proved that every generalized Jordan higher left centralizer of certain Γ-ring M is generalized higher left centralizer of M and we prove every Jordan generalized higher left centralizer of certain  Γ-
Salah Mehdi Salih   +2 more
semanticscholar   +4 more sources

Commutativity of Prime Gamma Rings with Left Centralizers

open access: goldJournal of Scientific Research, 2013
Let M be a G-ring. If M satisfies the condition (*) xaybz = xbyaz for all x, y, zÎM, a, bÎG, then we investigate commutativity of prime G-rings satisfying certain identities involving left centralizer. Keywords: Prime G-ring; Derivation; Generalized derivation; Left centralizer. © 2014 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online)
A. C. Paul, K. K. Dey
semanticscholar   +4 more sources

A note on Jordan left *-centralizers on prime and semiprime rings with involution [PDF]

open access: goldJournal of Taibah University for Science, 2017
The aim of this note is to give alternative and short proofs for some results to Ali et al. in [3] by using the relationship between the concepts of Jordan left *-centralizer and right centralizer on a 2-torsion free semiprime rings endowed with ...
M.S. Tammam El-Sayiad   +2 more
doaj   +2 more sources

On right (left) θ-centralizers on Banach algebras [PDF]

open access: yesJournal of Hyperstructures, 2023
Let A be a Banach algebra with unity 1, and θ : A → A be an continuous automorphism. In this paper we characterizea continuous linear map T : A → A which satisfies one of the following conditions:a, b ∈ A, ab = w =⇒ θ(a)T(b) = T(w),a, b ∈ A, ab = w =⇒ T ...
Ghazal Moradkhani, Neda Ghoreishi
doaj   +2 more sources

Jordan Higher Triple Left Resp. Right Centralizers of Prime Γ-Rings [PDF]

open access: goldDiyala Journal for Pure Science, 2021
hrough this paper we define the higher triple left resp. right centralizers of a Γ-ring Ɠ, and study some properties of Jordan higher triple left resp.
Afrah Mohammed Ibraheem   +1 more
openalex   +2 more sources

Left centralizers of semiprime gamma rings with involution

open access: hybridApplied Mathematical Sciences, 2014
The purpose of this article is to define notions of I-involution on Γ-rings, existence and prove some interesting results: (i) Let M be a 2-torsion free semiprime Γ-ring with I-involution and satisfying a certain assumption. If T : M → M is a Jordan left centralizer on M , then T is a left centralizer.
Hoque, M. F.   +2 more
semanticscholar   +4 more sources

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

open access: hybridMathematical theory and modelling, 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 ...
Fawaz Ra'ad, Jarullah Salah
openalex   +3 more sources

On Left s -Centralizers Of Jordan Ideals And Generalized Jordan Left (s ,t ) -Derivations Of Prime Rings [PDF]

open access: diamondEngineering and Technology Journal, 2011
In this paper we generalize the result of S. Ali and C. Heatinger on left s - centralizer of semiprime ring to Jordan ideal, we proved that if R is a 2-torsion free prime ring, U is a Jordan ideal of R and G is an additive mapping from R into itself ...
Abdulrahman H. Majeed   +1 more
doaj   +2 more sources

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