Results 21 to 30 of about 769,088 (289)
Local Generalized (α,β)-Derivations [PDF]
The Scientific World Journal, 2014 We study local generalized (α,β)-derivations on algebras generated by their idempotents and give some important applications of our results.
Ajda Fošner
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Generalized Hyers-Ulam Stability of Generalized (𝑁,𝐾)-Derivations [PDF]
Abstract and Applied Analysis, 2009 Let 3≤𝑛, and 3≤𝑘≤𝑛 be positive integers. Let 𝐴 be an algebra and let 𝑋 be an 𝐴-bimodule. A ℂ-linear mapping 𝑑∶𝐴→𝑋 is called a generalized (𝑛,𝑘)-derivation if there exists a (𝑘−1)-derivation 𝛿∶𝐴→𝑋 such that 𝑑(𝑎1𝑎2⋯𝑎𝑛)=𝛿(𝑎1)𝑎2⋯𝑎𝑛+𝑎1𝛿(𝑎2)𝑎3⋯𝑎𝑛+⋯+𝑎1𝑎2⋯𝑎𝑘−2𝛿(
M. Eshaghi Gordji +2 more
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On Generalized Derivations Of Jordon Algebras [PDF]
, 2022 In the present article the concept of generalized derivations of Jordan algebras is introduced and the general properties of generalized derivations are studied.
Voxobov Fazliddin Faxriddinjon o‘g‘li
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Almost Generalized Derivation on Banach Algebras
Mathematics, 2022 We take into consideration generalized derivations. First, we study the stability of generalized derivations on Banach algebras under consideration. Then we prove some theorems involving approximate generalized derivations on Banach algebras.
Jae-Hyeong Bae +2 more
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Commutativity Results on Prime Rings With Generalized Derivations [PDF]
Engineering and Technology Journal, 2016 Let R be a prime ring. For nonzero generalized derivations F and G associated with the same derivation d, we prove that if d≠0, then R is commutative, if any one of the following conditions hold: (1) [F(x), G(y)] 0, (2) F(x)oG(y) 0, (3) F(x)oG(y ...
A. Majeed, Shaima,a Yass
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Generic deriving of generic traversals [PDF]
Proceedings of the ACM on Programming Languages, 2018 Functional programmers have an established tradition of using traversals as a design pattern to work with recursive data structures. The technique is so prolific that a whole host of libraries have been designed to help in the task of automatically providing traversals by analysing the generic structure of data types. More recently, lenses have entered
Csongor Kiss +2 more
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Generalized Left Derivations with Identities on Near-Rings
مجلة بغداد للعلوم, 2023 In this paper, new concepts which are called: left derivations and generalized left derivations in nearrings have been defined. Furthermore, the commutativity of the 3-prime near-ring which involves some algebraic identities on generalized left ...
Enaam Farhan
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Generalized derivations and generalized exponential monomials on hypergroups [PDF]
Opuscula Mathematica, 2023 In one of our former papers "Endomorphisms of the measure algebra of commutative hypergroups" we considered exponential monomials on hypergroups and higher order derivations of the corresponding measure algebra.
Żywilla Fechner +2 more
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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
Rehman, Nadeem-ur +3 more
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On generalized derivations of partially ordered sets [PDF]
, 2019 summary:Let $P$ be a poset and $d$ be a derivation on $P$. In this research, the notion of generalized $d$-derivation on partially ordered sets is presented and studied. Several characterization theorems on generalized $d$-derivations are introduced. The
Abdelwanis, Ahmed Y., Boua, Abdelkarim
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