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Multiplicativity of left centralizers forcing additivity
Boletim da Sociedade Paranaense de Matemática, 2014 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 ...
Mohammad Sayed Tammam El-Sayiad +2 more
doaj +7 more sources
The lattice of left ideals in a centralizer near-ring is distributive [PDF]
Proceedings of the American Mathematical Society, 1982 A decomposition theorem for a left ideal in a finite centralizer near-ring is established. This result is used to show that the lattice of left ideals in a finite centralizer near-ring is distributive.
Kirby C. Smith
semanticscholar +5 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 ...
J. G. Wendel
semanticscholar +5 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
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Left centralizers on rings that are not semiprime
Rocky Mountain Journal of Mathematics, 2011 A (left) centralizer for an associative ring R is an additive map satisfying T(xy) = T(x)y for all x , y in R . A (left) Jordan centralizer for an associative ring R is an additive map satisfying T ( xy + yx ) = T ( x ) y + T ( y ) x for all x , y in R . We characterize rings with a Jordan centralizer T .
Irvin Roy Hentzel +1 more
semanticscholar +6 more sources
Commutativity of Prime Gamma Rings with Left Centralizers
Journal 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)
Kalyan Kumar Dey, A. C. Paul
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Left centralizers of an $H\sp{\ast} $-algebra [PDF]
Proceedings of the American Mathematical Society, 1974 An explicit characterization is given of the left centralizers of a proper H*-algebra A. Each left centralizer is seen to correspond to a bounded family of bounded operators, where each operator acts on a Hilbert space associated with a minimalclosed two-sided ideal of A. Introduction. Let A be a semisimple Banach algebra.
Gregory F. Bachelis, James W. McCoy
semanticscholar +3 more sources
On Left Centralizers of Semiprime Γ-Rings
Journal of Scientific Research, 2012 Let M be a semiprime G-ring satisfying an assumption xaybz = xbyaz for all x, y, z?M, a, b?G. In this paper, we prove that a mapping T: M ? M is a centralizer if and only if it is a centralizing left centralizer. We also show that if T and S are left centralizers of M such that T(x)a x + x a S(x)?Z(M) (the center of M) for all x?M, a?G, then both T ...
Kalyan Kumar Dey, A. C. Paul
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A note on Jordan left *-centralizers in rings with involution
International Journal of Algebra, 2015 Let R be a ring with involution. An additive mapping T : R → R is called a left ∗-centralizer (resp. Jordan left ∗-centralizer) if T (xy) = T (x)y∗ (resp.
Abdul Nadim Khan +2 more
semanticscholar +4 more sources
Jordan Higher Triple Left Resp. Right Centralizers of Prime Γ-Rings [PDF]
Diyala 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