generalized derivation
On Prime Near Rings with Generalized Derivation
... A derivation on N is an additive endomorphism D of N such that Dxy xDy Dxy for all x, y ∈ ...A generalized derivation f with associated derivation D is an additive endomorphism f : N → N such ...
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Generalized derivation modulo the ideal of all compact operators
... Since the pair A, B satisfies the property PFᏴ , it follows by Lemma 3.1 that RS reduces A, kerS⊥ reduces B, and A|RS and B|kerS⊥ are normal operators.. 1 The result of Tong [5, Lemma 1][r] ...
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A Note on Generalized Skew Derivations on Rings
... skew- derivation of R if D(xy)=D(x)y+α(x)D(y) for all x,yϵR and α is called an associated automorphism of ...a generalized skew-derivation of R if there exists a skew-derivation D of R with ...
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Left Generalized Derivations on Prime Γ-Rings
... of Generalized derivations in ...of Generalized derivations in semiprime gamma rings Bresar [2] studied on the distance of the composition of two derivations to the generalized ...left ...
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Multiplicative (Generalized) Reverse Derivations on Semiprime Ring
... a derivation if d(xy) = d(x)y + xd(y) for all x, y ∈ ...of derivation was extended to generalized derivation by Bresar ...a generalized derivation if there exists a ...
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The Commutativity of a * Ring with Generalized Left * α Derivation
... a derivation holds as a homomorphism or an anti-homomorphism on a nonzero right ideal of R which is a prime ring, then d = 0 ...zero generalized derivation with a nonzero derivation d R : → R ...
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Generalized Derivations on Prime Near Rings
... a derivation on 𝑁 if 𝑑(𝑥𝑦) = 𝑑(𝑥)𝑦+ 𝑥𝑑(𝑦) , for all 𝑥, 𝑦 ∈ 𝑁 ...left) generalized derivation with associated derivation 𝑑 if 𝑓(𝑥𝑦) = 𝑓(𝑥)𝑦 + 𝑥𝑑(𝑦) ...a generalized derivation ...
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Vol 9, No 3 (2018)
... of generalized derivation was introduced in 1991 by Daif ...admitting generalized derivation in prime and semiprime ...1987[2]. Generalized derivations have been primarily studied on ...
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Lie Ideals and Generalized Derivations in Semiprime Rings
... δ(x)F (x) = 0) for all x ∈ [R, R]. In light of [6], since δ 6= 0 and [R, R] is not central in R, one has the contradiction that F = 0. Lemma 1.3. Let R be a 2-torsion free semiprime ring and L be a non-central Lie ideal ...
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Vol 6, No 6 (2015)
... a generalized derivation F associated with derivation 𝑎𝑎 in [2], to, two generalized derivations 𝐹𝐹 and 𝐺𝐺 associated with the same derivation 𝑎𝑎 ...two generalized ...
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Algebras defined by homomorphisms
... generalization derivation if there exists a derivation d : A −→ A such that D(xy) = D(x)y + xd(y) for all x, y ∈ A and we say D is a d-derivation ...of generalized derivation introduced ...
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ClosedLieIdeals of Prime Rings with Generalizedα−derivations
... called derivation if 𝑑 𝑟𝑝 = 𝑑 𝑟 𝑝 + 𝑟𝑑 𝑝 for all 𝑟, 𝑝 ∈ ...generalized derivation. An additive mapping 𝐹 from 𝑅 into 𝑅 is called generalized derivation associated with derivation ...
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Scalar Product in the Space of Waveguide Modes of an Open Planar Waveguide
... Abstract. To implement the method of adiabatic waveguide modes for modeling the propagation of polarized monochromatic electromagnetic radiation in irregular integrated optics structures it is necessary to expand the ...
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A GENERALIZED POISSON–NERNST–PLANCK–NAVIER–STOKES MODEL ON THE FLUID WITH THE CROWDED CHARGED PARTICLES: DERIVATION AND ITS WELL-POSEDNESS
... Motivated by [33], we modify the energy dissipation law by considering the com- bination of the microscopic (atomic) energy law and macroscopic (hydrodynamic) energy law, which could be reasonable since the microscopic ...
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The Equation of Exchange: A Derivation
... Some of the findings in this paper are that not only is the equation of exchange derived from a utility maximizing model and that velocity is constant when interest rates are fixed, but [r] ...
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Parsing with the Shortest Derivation
... a derivation forest for a sentence, and the most probable parse is computed by sampling a sufficiently large number of random derivations from the forest ("Monte Carlo disambiguation", see Bod 1998; ...
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Tsunamis: The Response of Harbours with Sloping Boundaries to Long Wave Excitation
... This analysis consists of a derivation of the long wave equations of motion in the Lagrangian description for two horizontal coordinates, a derivation of a harbour resonance model applic[r] ...
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Derivation and Interpretation of a Generalized Charge Control Theory and Reciprocity for a Bipolar Transistor
... attempts to over come this objection by referring to the r atio of excess injected charge in the base to the emitter current as the average time spent per carrier in the base in the abse[r] ...
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Statistical theory of selectivity and conductivity in narrow biological ion channels:studies of KcsA
... principles derivation of statistical and kinetic theory. The process of derivation has led to new results that describe multi-species conduction in and far from equilibrium in ...
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PP 2008 21: Getting Rid of Derivational Redundancy or How to Solve Kuhn's Problem
... longer derivation, which was also discussed in section ...larger derivation tree in the training set and could thus be constructed by reusing exactly that ...other derivation was taken from the ...
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