On the lie triple derivations
Weband J. Zhang [26, 27] studied the nonlinear maps preserving the mixed skew Lie triple product [[A,B] ∗,C] and [[A,B],C] ∗on factor von Neumann algebras, where [A,B] = AB −BA is the usual Lie product of A and B. Y. Zhou, Z. Yang and J. Zhang [34] studied the structure of the nonlinear mixed Lie triple derivations on prime ∗-algebras. Web5 de jul. de 2024 · There are many interesting generalizations of (Lie triple) derivation, one of them being (Lie triple) higher derivation (see [18–24]). Let us first recall some basic facts related to Lie triple higher derivations. Let Nbe the set of all non-negative integers and D = fd ng 2N be a family of R-linear (resp. nonlinear) mapping on Asuch that d0 ...
On the lie triple derivations
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WebIn this article, we give the structure of generalized Lie triple derivations G L on generalized matrix algebras . G and prove that under certain restrictions G L can be written as . G L = … Web7 de ago. de 2024 · Abstract. Let be a standard operator algebra on an infinite dimensional complex Hilbert space containing identity operator I.In this paper it is shown that if is closed under the adjoint operation, then every multiplicative ∗-Lie triple derivation is a linear ∗-derivation.Moreover, if there exists an operator S ∈ such that S + S ∗ = 0 then d(U) = U S …
WebSuppose 풜 is an alternative ring containing a non-trivial idempotent and χm be a mapping from 풜 into itself. In this paper, we study the Jordan n-higher derivations on alternative rings and prove t... Web1 de dez. de 2024 · We investigate Lie derivations on a class of algebras called triangular algebras. In particular, we give sufficient conditions such that every Lie derivation on such an algebra
Web13 de out. de 2024 · Benkovic, D., Lie triple derivations of unital algebras with idempotents, Linear Multilinear Algebra, 63(1), (2015), 141–165. Article MathSciNet … WebRecently, extension of a pair of derivations on Lie algebras, 3-Lie algebras, Leibniz algebras and associative algebras have been studied, refer to [8–11]. We attempt to consider the same problems on Lie triple systems. Inspired by [11], we define a Lie algebra G θ A,where θ A is a representation of a Lie triple system L on a Lie triple ...
Web27 de mai. de 2014 · Nonlinear Lie triple derivations on p arabolic subalgebras of finite-dimensional simple Lie algebras. Linear and M ultilinear A lgebras, 2012, 60(6): 645-656. 10. Zhengxin Chen. Automorphisms and derivations of certain solvable Lie algebras over commutative rings. Communications in A lgebra ， 2012 ， 40 （ 2 ）: 738-769. 9.
WebIn this article, we give the structure of Lie triple derivation L on a generalized matrix algebra G and prove that under certain appropriate assumptions L on G is proper, i.e., L = δ + χ, where δ is a derivation on G and χ is a mapping from G into its center Z ( G) which annihilates all second commutators in G, i.e., χ ( [ [ x, y], z]) = 0 for … how does gender inequality affect birth rateWeb1 de fev. de 2004 · Abstract The notion of a non-associative universal enveloping algebra for a Lie triple system arises when Lie triple systems are considered as Bol algebras (more generally, Sabinin algebras). In ... ternary Cayley derivations and ternary automorphisms are computed over fields of characteristic ≠ 2, 3 for the algebras A t obtained ... photo gallery apiWebF. Lu and W. Jing, Characterizations of Lie derivations of B (X), Linear Algebra Appl. 432 (2009) 89–99. ISI, Google Scholar; 14. X. F. Qi and J. C. Hou, Characterization of Lie derivations on prime rings, Commun. Algebra 39 (2011) 3824–3835. Crossref, ISI, Google Scholar; 15. L. Liu, Lie triple derivations on factor von Neumann algebras, Bull photo gallery frames setWeb1 de mar. de 2012 · Lie triple derivations on primitive rings S. Ebrahimi Mathematics 2015 In this paper, we show that for each Lie triple derivation L on primitive ring R of characteristic not 2 with nontrivial idempotent, there exists an ordinary derivation D of R into a primitive ring… Expand 3 Nonlinear generalized Lie triple derivation on triangular … how does gender inequality affect childrenWeb26 de mar. de 2024 · The aim of the article was to show that the second nonlinear mixed Lie triple derivations on finite von Neumann algebras with no central summands of type … photo gallery in windows 10 downloadWeb9 de jul. de 2014 · As applications, all Lie (triple) derivations on prime rings and von Neumann algebras are characterized, which generalize some known results. Characterization of Multiplicative Lie Triple Derivations on Rings photo gallery kitchen remodelingWebIs One or Two Lies (2024) streaming on Netflix, Disney+, Hulu, Amazon Prime Video, HBO Max, Peacock, or 50+ other streaming services? Find out where you can buy, rent, or … photo gallery desktop app windows 10 download