Results 1 to 10 of about 2,654,901 (160)
ON LEFT MULTIPLIERS AND THE COMMUTATIVITY OF PRIME RINGS
Demonstratio Mathematica, 2008 Let R be an associative ring. An additive mapping H : R → R is called a left multiplier if H(xy) = H(x)y, holds for all x, y ∈ R. In this paper, we investigate commutativity of prime rings satisfying certain identities involving left multiplier.
Shakir Ali, Mohammad Ashraf
exaly +4 more sources
ON LEFT α-MULTIPLIERS AND COMMUTATIVITY OF SEMIPRIME RINGS
Communications of the Korean Mathematical Society, 2012 Let R be a ring, and be an endomorphism of R. An additive mapping H : R ! R is called a left -multiplier (centralizer) if H(xy) = H(x) (y) holds for all x;y 2 R. In this paper, we shall investigate the commutativity of prime and semiprime rings admitting left -multipliers satisfying any one of the properties: (i) H((x;y)) (x;y) = 0; (ii) H((x;y))+ (x;y)
Shakir Ali
exaly +4 more sources
Some Commutativity Theorems for Near-Rings with Left Multipliers [PDF]
Kragujevac Journal of Mathematics, 2020 Let N be a 3-prime near-ring with the center Z(N), and U be a nonzero semigroup ideal of N. In the present paper it is shown that a 3-prime near-ring N is a commutative ring if and only if it admits left multipliers F and G satisfying any one of the ...
A. Boua, A. Abdelwanis, A. Chillali
semanticscholar +3 more sources
Left multipliers of reproducing kernel Hilbert $C^*$-modules and the Papadakis theorem [PDF]
Journal of Mathematical Analysis and Applications, 2021 We give a modified definition of a reproducing kernel Hilbert C∗module (shortly, RKHC∗M) without using the condition of self-duality and discuss some related aspects; in particular, an interpolation theorem is presented.
M. Ghaemi, V. Manuilov, M. Moslehian
semanticscholar +3 more sources
Generalized Multipliers for Left-Invertible Operators and Applications [PDF]
Integral Equations and Operator Theory, 2018 Generalized multipliers for a left-invertible operator T, whose formal Laurent series Ux(z)=∑n=1∞(PETnx)1zn+∑n=0∞(PET′∗nx)zn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
Paweł Pietrzycki
semanticscholar +6 more sources
Left multipliers and commutativity of 3-prime near-rings
MATHEMATICA, 2023 Our objective in this paper is to study the structure of 3-prime near-rings satisfying some algebraic properties.
A. Boua, B. Davvaz
semanticscholar +3 more sources
Prime rings with involution involving left multipliers
Proyecciones (Antofagasta), 2020 Let R be a prime ring of characteristic different from 2 with involution ’∗’ of the second kind and n ≥ 1 be a fixed positive integer. In the present paper it is shown that if R admits nonzero left multipliers S and T, then the following conditions are ...
A. Boua, M. Ashraf
semanticscholar +4 more sources
COMPACT LEFT MULTIPLIERS ON BANACH ALGEBRAS RELATED TO LOCALLY COMPACT GROUPS [PDF]
Bulletin of the Australian Mathematical Society, 2009 We deal with the dual Banach algebras $L_0^\infty (G)^*$ for a locally compact group G. We investigate compact left multipliers on $L_0^\infty (G)^*$, and prove that the existence of a compact left multiplier on $L_0^\infty (G)^*$ is equivalent to ...
M. Mehdipour, R. Nasr-Isfahani
semanticscholar +3 more sources
On the Taylor spectrum of left-right multipliers [PDF]
Proceedings of the American Mathematical Society, 1998 The Taylor spectrum of a mixed pair of multiplication operators is determined on an ultraprime Banach algebra.
R. Harte, C. Hernández
semanticscholar +2 more sources
Commutativity of Involutorial Rings with Constraints on Left Multipliers
Communications in Mathematics and Applications, 2011 Let $(R, \ast)$ be a ring with involution and let $Z(R)$ be the center of $R$. The purpose of this paper is to explore the commutativity of $R$ if it admits a left multiplier $F$ satisfying certain identities on Lie ideals.
L. Oukhtite, L. Taoufiq
semanticscholar +2 more sources