Results 51 to 60 of about 1,324,184 (168)
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
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Structure of Semiprime P.I. Rings [PDF]
Proceedings of the American Mathematical Society, 1973 In this paper we make an investigation into the structure of semiprime polynomial identity rings which is culminated by showing that each such ring R R
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On Prime and Semiprime Gamma Rings with Symmetric Gamma n-Centralizers
, 2021 In this paper, we assume that M is Γ-ring then we will present the definition of symmetric Γ-n-centralizers and the definition of Jordan Γ-n-centralizers of M.
Ikram A. Saed
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DERIVATIONS OF PRIME AND SEMIPRIME RINGS [PDF]
Journal of the Korean Mathematical Society, 2009 Let R be a prime ring, I a nonzero ideal of R, d a derivation of R and n a fixed positive integer. (i) If (d(x)y+xd(y)+d(y)x+yd(x)) n = xy + yx for all x,y 2 I, then R is commutative. (ii) If charR 6 2 and (d(x)y + xd(y) + d(y)x + yd(x)) n i (xy + yx) is central for all x,y 2 I, then R is commutative.
Argac, Nurcan, Inceboz, Hulya G.
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Orthogonal Symmetric Higher bi-Derivations on Semiprime Г-Rings
مجلة بغداد للعلوم, 2019 Let M is a Г-ring. In this paper the concept of orthogonal symmetric higher bi-derivations on semiprime Г-ring is presented and studied and the relations of two symmetric higher bi-derivations on Г-ring are introduced.
Salih et al.
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On S-Prime and S-Semiprime RΓ-Submodules of RΓ-Module
, 2021 Let R be a Γ-ring and G be a RΓ-module. Aproper RΓ-submodule E of G is said to be S-prime (S-semiprime) RΓ-submodule of G whenever μ(K) ⊆ E ( μ(m) γ μ(m) E ), for some K be a RΓ-submodule of G, where End (G), y Γ and m G, then K ⊆ E or M(G)⊆ E ( μ(m) E).
Ali Abd Alhussein Zyarah, N. Al-Mothafar
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Jordan derivations on semiprime rings [PDF]
Proceedings of the American Mathematical Society, 1988 I. N. Herstein has proved that any Jordan derivation on a 2 2 -torsion free prime ring is a derivation.
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Free actions on semiprime rings [PDF]
Mathematica Bohemica, 2008 Summary: We identify some situations where mappings related to left centralizers, derivations and generalized \((\alpha,\beta)\)-derivations are free actions on semiprime rings. We show that for a left centralizer, or a derivation \(T\), of a semiprime ring \(R\) the mapping \(\psi\colon R\to R\) defined by \(\psi(x)=T(x)x-xT(x)\) for all \(x\in R\) is
Chaudhry, Muhammad Anwar +1 more
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On Rings of Weak Global Dimension at Most One
Mathematics, 2021 A ring R is of weak global dimension at most one if all submodules of flat R-modules are flat. A ring R is said to be arithmetical (resp., right distributive or left distributive) if the lattice of two-sided ideals (resp., right ideals or left ideals) of
Askar Tuganbaev
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Symmetry, 2022 The nature of universe problems is ambiguous due to the presence of asymmetric data in almost all disciplines, including engineering, mathematics, medical sciences, physics, computer science, operations research, artificial intelligence, and management ...
K. Porselvi +3 more
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