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On Lie Derivations, Generalized Lie Derivations and Lie Centralizers of Octonion Algebras
Ars Combinatoria, 2023Let L be a unital ring with characteristic different from 2 and O ( L ) be an algebra of Octonion over L . In the present article, our attempt is to present the characterization as well as the matrix representation of some variants of derivations on O ( L ) .
Minahal Arshad, M. Mobeen Munir
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On the Lie triple derivation of Hom–Lie superalgebras
Asian-European Journal of Mathematics, 2023Consider a Hom–Lie superalgebra, denoted by [Formula: see text]. In this paper, we inquire the Lie triple derivation [Formula: see text] and generalized Lie triple derivation [Formula: see text] of Hom–Lie superalgebra. Later, we address the triple centroid, triple quasi-centroid and central triple derivations of Hom–Lie superalgebra.
Sania Asif, Yao Wang
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Canadian Mathematical Bulletin, 1988
AbstractIn this paper we prove the following result: let R be a prime ring with no non-zero nil left ideals whose characteristic is different from 2 and let U be a non central Lie ideal of R.If d ≠ 0 is a derivation of R such that d(u) is invertible or nilpotent for all u ∈ U, then either R is a division ring or R is the 2 X 2 matrices over a division ...
Mauceri, Silvana, Misso, Paola
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AbstractIn this paper we prove the following result: let R be a prime ring with no non-zero nil left ideals whose characteristic is different from 2 and let U be a non central Lie ideal of R.If d ≠ 0 is a derivation of R such that d(u) is invertible or nilpotent for all u ∈ U, then either R is a division ring or R is the 2 X 2 matrices over a division ...
Mauceri, Silvana, Misso, Paola
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On the Lie derivations and generalized Lie derivations of quaternion rings
Communications in Algebra, 2019Let S be a unital ring in which 2 is invertible, and let R=H(S) be the quaternion ring over S. In this paper, we describe the Lie derivations and generalized Lie derivations of R, we show that if S...
H. Ghahramani +2 more
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On Derivations of Lie Algebras
Canadian Journal of Mathematics, 1976A well known result in the theory of Lie algebras, due to H. Zassenhaus, states that if is a finite dimensional Lie algebra over the field K such that the killing form of is non-degenerate, then the derivations of are all inner, [3, p. 74]. In particular, this applies to the finite dimensional split simple Lie algebras over fields of characteristic ...
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2016
Convection is an important transport mechanism in physics. Especially, in fluid dynamics at high Reynolds numbers this term dominates. Modern mimetic discretization methods consider physical variables as differential k-forms and their discrete analogues as k-cochains. Convection, in this parlance, is represented by the Lie derivative, \(\mathcal{L}_{X}\
Marc Gerritsma +2 more
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Convection is an important transport mechanism in physics. Especially, in fluid dynamics at high Reynolds numbers this term dominates. Modern mimetic discretization methods consider physical variables as differential k-forms and their discrete analogues as k-cochains. Convection, in this parlance, is represented by the Lie derivative, \(\mathcal{L}_{X}\
Marc Gerritsma +2 more
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The Lie derivative of currents on Lie groups
Lobachevskii Journal of Mathematics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kieu Phuong Chi +2 more
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Symmetric amenability and Lie derivations
Mathematical Proceedings of the Cambridge Philosophical Society, 2004\textit{B. E. Johnson} proved that a continuous Lie derivation from a symmetrically amenable semisimple Banach \(A\) into a Banach algebra \(A\)-bimodule \(X\) can be uniquely decomposed into the sum of a derivation and a centre-valued trace [Math. Proc. Camb. Philos. Soc. 120, 455--473 (1996; Zbl 0888.46024)].
Mathieu, Martin +2 more
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ON LIE DERIVATIONS OF TRIANGULAR ALGEBRAS
Rocky Mountain Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Lei, Li, Kaipeng
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Hom-Lie Algebras with Derivations
Frontiers of MathematicsThe authors recall some basic definitions related to Hom-Lie algebras [\textit{A. Makhlouf} and \textit{S. D. Silvestrov}, J. Gen. Lie Theory Appl. 2, No. 2, 51--64 (2008; Zbl 1184.17002)] and they introduced HLieDer(L) as a Hom-Lie algebra endowed with a derivation.
Li, Yizheng, Wang, Dingguo
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