Results 11 to 20 of about 6,216 (262)
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 Jordan Derivations on C∗-Algebras through Zero Products
Journal of Mathematics, 2022 Let A be a unital C∗-algebra and X be a unitary Banach A-bimodule. In this paper, we characterize continuous generalized derivations and generalized Jordan derivations as form D:A⟶X through the action on zero product.
Abbas Zivari-Kazempour, Abasalt Bodaghi
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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 acting on Lie ideals in prime rings and Banach algebras
Математичні Студії, 2023 Let $R$ be a prime ring and $L$ a non-central Lie ideal of $R.$ The purpose of this paper is to describe generalized derivations of $R$ satisfying some algebraic identities locally on $L.$ More precisely, we consider two generalized derivations $F_1$ and
A. Hermas, L. Oukhtite, L. Taoufiq
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Commutativity of MA-Semirings with Involution through Generalized Derivations
Journal of Mathematics, 2020 In this paper, we study the generalized derivations of MA-semirings with involution. We discuss some differential identities satisfied by the generalized derivations which force the semirings with involution to be commutative.
Liaqat Ali +5 more
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Generalized Derivations of BCC-Algebras
International Journal of Mathematics and Mathematical Sciences, 2013 The notion of generalized derivations of BCC-algebras is introduced, and some related properties are investigated. Also, we consider regular generalized derivations and the D-invariant on ideals of BCC-algebras.
S. M. Bawazeer +2 more
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Approximation of Generalized Left Derivations
Abstract and Applied Analysis, 2008 We need to take account of the superstability for generalized left derivations (resp., generalized derivations) associated with a Jensen-type functional equation, and we also deal with problems for the Jacobson radical ranges of left derivations (resp ...
Sheon-Young Kang, Ick-Soon Chang
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AN IDENTITY WITH GENERALIZED DERIVATIONS
Journal of Algebra and Its Applications, 2009 Let R be a prime ring that is not commutative and such that R ≇ M2( GF (2)), let D, G be two generalized derivations of R, and let m, n be two fixed positive integers. Then D(xm)xn= xnG(xm) for all x ∈ R iff the following two conditions hold: (1) There exists w ∈ Q, the symmetric Martindale quotient ring of R, such that D(x) = xw and G(x) = wx for all ...
Lee, T.-K., Zhou, Y.
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Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras
International Journal of Mathematics and Mathematical Sciences, 2011 Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, A is the closed subspace lattice including 0 an H, then A is a nest, accordingly alg A={T∈B(H):TN⊆N, ∀N∈A} is a nest algebra. It will be shown that of nest algebra,
Dangui Yan, Chengchang Zhang
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Survey on Recent Ulam Stability Results Concerning Derivations
Journal of Function Spaces, 2016 This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability.
Janusz Brzdęk +4 more
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