Results 11 to 20 of about 94,501 (272)
Generalized derivations of Lie triple systems
Open Mathematics, 2016 In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆
Zhou Jia, Chen Liangyun, Ma Yao
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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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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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Generators of Dynamical Systems on Hilbert Modules [PDF]
, 2006 We characterize the generators of dynamical systems on Hilbert modules as those generators of one-parameter groups of Banach space isometries which are ternary derivations.
Skeide, Michael +1 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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Extended quantum conditional entropy and quantum uncertainty inequalities [PDF]
, 2012 Quantum states can be subjected to classical measurements, whose incompatibility, or uncertainty, can be quantified by a comparison of certain entropies. There is a long history of such entropy inequalities between position and momentum.
C. Davis +18 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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On Commutativity of Rings with Generalized Derivations [PDF]
, 2002 The concept of derivations as well as of generalized inner derivations have been generalized as an additive function F : R → R satisfying F(xy) = F(x)y + xd(y) for all x, y ∈ R, where d is a derivation on R, such a function F is said to be a ...
Rehman, Nadeem ur
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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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