Results 11 to 20 of about 308 (83)
Prime Gamma Rings with Centralizing and Commuting Generalized Derivations [PDF]
, 2016 Let M be a prime Γ-ring satisfying a certain assumption and D a nonzero derivation on M . Let f : M → M be a generalized derivation such that f is centralizing and commuting on a left ideal J of M . Then we prove that M is commutative.
Md Fazlul Hoque, A. C. Paul
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Functional equations related to higher derivations in semiprime rings
Open Mathematics, 2021 We investigate the additivity and multiplicativity of centrally extended higher derivations and show that every centrally extended higher derivation of a semiprime ring with no nonzero central ideals is a higher derivation.
Ezzat O. H.
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ENDOMORPHISMS WITH CENTRAL VALUES ON PRIME RINGS WITH INVOLUTION
International Electronic Journal of Algebra, 2020 In this paper we present some commutativity theorems for prime rings R with involution ∗ of the second kind in which endomorphisms satisfy certain algebraic identities.
L. Oukhtite, H. E. Mir, B. Nejjar
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Commutativity with Derivations of Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2020 Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be a derivation mapping.
Atteya Mehsin Jabel
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Generalized Derivations with Commutativity and Anti-commutativity Conditions [PDF]
, 2007 Let R be a prime ring with 1, with char(R) ≠ 2; and let F : R → R be a generalized derivation. We determine when one of the following holds for all x,y ∈ R: (i) [F(x); F(y)] = 0; (ii) F(x)ΟF(y) = 0; (iii) F(x) Ο F(y) = x Ο
Bell, Howard E., Rehman, Nadeem-ur
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A note on skew Lie product of prime ring with involution
, 2020 Let R be a ring with involution. The skew Lie product of a,b∈R is defined byO[a,b] = ab−ba∗. In the present paper we study prime ring with involution satisfying identities involving skew Lie product and left centralizers.
A. Abbasi̇, M. Mozumder, N. Dar
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An algebraic approach to Wigner's unitary-antiunitary theorem [PDF]
, 1998 We present an operator algebraic approach to Wigner's unitary-antiunitary theorem using some classical results from ring theory. To show how effective this approach is, we prove a generalization of this celebrated theorem for Hilbert modules over matrix ...
Dedicated To Réka Anna, Lajos Moln Ár
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Generalized Derivations With Left Annihilator Conditions in Prime and Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2017 Let R be a prime ring with its Utumi ring of quotients U, C = Z(U) be the extended centroid of R, H and G two generalized derivations of R, L a noncentral Lie ideal of R, I a nonzero ideal of R.
Dhara Basudeb
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On Generalized Derivations and Commutativity of Associative Rings
Discussiones Mathematicae - General Algebra and Applications, 2020 Let be a ring with center Z(). A mapping f : → is said to be strong commutativity preserving (SCP) on if [f (x), f (y)] = [x, y] and is said to be strong anti-commutativity preserving (SACP) on if f (x) ◦ f (y) = x ◦ y for all x, y ∈.
Sandhu Gurninder S. +2 more
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A note on generalized (m,n)-Jordan centralizers [PDF]
, 2013 The aim of this paper is to define generalized ▫$(m, n)$▫-Jordan centralizers and to prove that on a prime ring with nonzero center and ▫${rm char}(R) ne 6mn(m+n)(m+2n)$▫ every generalized ▫$(m, n)$▫-Jordan centralizer is a two-sided centralizer.V članku
Fošner, Ajda
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