Results 1 to 10 of about 278 (249)
Left centralizers on rings that are not semiprime
Rocky Mountain Journal of Mathematics, 2011 In any ring \(R\), an additive \(T\colon R\to R\) is a (left) centralizer on \(R\) if \(T(xy)=T(x)y\) for all \(x,y\in R\), and is a Jordan centralizer when \(T(xy+yx)=T(x)y+T(y)x\). The main result of the paper is that for any Jordan centralizer \(T\) of \(R\), if \(I\) is the \(T\)-invariant ideal of \(R\) generated by \(\{T(xy)-T(x)y\mid x,y\in R\}\)
Hentzel, Irvin, El-Sayiad, M.S.
exaly +5 more sources
A note on Jordan left *-centralizers on prime and semiprime rings with involution
Journal 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 +4 more sources
On right (left) θ-centralizers on Banach algebras [PDF]
Journal 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 ?-Centralizers of Prime and Semiprime Rings
مجلة بغداد للعلوم, 2010 The purpose of this paper is to prove the following result: Let R be a 2-torsion free ring and T: R?R an additive mapping such that T is left (right) Jordan ?-centralizers on R.
Baghdad Science Journal
doaj +4 more sources
On Left s -Centralizers Of Jordan Ideals And Generalized Jordan Left (s ,t ) -Derivations Of Prime Rings [PDF]
Engineering 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
Left centralizers and isomorphisms of group algebras [PDF]
Pacific 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 ...
exaly +4 more sources
The Central Role of Left Atrium in Heart Failure [PDF]
Frontiers in Cardiovascular Medicine, 2021 In past cardiovascular medicine, the attention to the left ventricle-identified as the only indicator and determinant of healthy or unhealthy cardiac conditions- has systematically hidden the role of the left atrium (LA). The recent advances in cardiovascular imaging have provided a better understanding of LA anatomy, physiology, and pathology, making ...
Carpenito, Myriam +7 more
openaire +4 more sources
A Note on Pair of Left Centralizers in Prime Ring with Involution [PDF]
Kragujevac Journal of Mathematics, 2021 The purpose of this paper is to study pair of left centralizers in prime rings with involution satisfying certain identities.
Mozumder, Muzibur Rahman +3 more
openaire +2 more sources
Multiplicativity of Left Centralizers forcing additivity
Boletim 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
openaire +5 more sources
Centralizer on Lie-ideal of Semi-prime Inverse Semi-ring
Ibn Al-Haitham Journal for Pure and Applied SciencesThe summary purpose of this work: We extending certain results on α-centralizer of inverse semiring under specific conditions, achieve new results on lie ideal of inverse semiring with some consequent collieries, generalize assorted α-centralizer ...
Ali JA. Abass +3 more
doaj +1 more source