Results 1 to 10 of about 5,953,085 (343)
Local Lie derivations of generalized matrix algebras
AIMS Mathematics, 2023 In this paper, we investigate local Lie derivations of a certain class of generalized matrix algebras and show that, under certain conditions, every local Lie derivation of a generalized matrix algebra is a sum of a derivation and a linear central-valued
Dan Liu , Jianhua Zhang, Mingliang Song
doaj +3 more sources
Characterizations of local Lie derivations on von Neumann algebras
AIMS Mathematics, 2022 In this paper, we prove that every local Lie derivation on von Neumann algebras is a Lie derivation; and we show that if M is a type I von Neumann algebra with an atomic lattice of projections, then every local Lie derivation on LS(M) is a Lie derivation.
Guangyu An +3 more
doaj +2 more sources
Derivations of nilpotent Lie algebras [PDF]
Proceedings of the American Mathematical Society, 1957 J. DIXMIER AND W. G. LISTER In a recent note Jacobson proved [l] that, over a field of characteristic 0, a Lie algebra with a nonsingular derivation is nilpotent. He also noted that the validity of the converse was an open question. The purpose of this note is to supply a strongly negative answer to that question and to point out some of the immediate ...
J. Dixmier, William G. Lister
openalex +2 more sources
δ-derivations of classical Lie superalgebras [PDF]
Siberian Mathematical Journal, 2009 17 ...
I. B. Kaygorodov
openalex +4 more sources
Derivations on a Lie Ideal [PDF]
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 ...
Silvana Mauceri, Paola Misso
openalex +3 more sources
Lie triple derivation and Lie bi-derivation on quaternion rings
Miskolc Mathematical NotesIn this study, we prove the existence of the central Lie bi-derivation for the ring with identity on the quaternion ring. We also describe the triple Lie derivation using the Jordan derivation on the aforementioned ring.
Mohd Arif Raza +2 more
doaj +3 more sources
Математичні СтудіїLet $\mathcal{R}$ be a prime ring and $L$ a nonzero square closed Lie ideal of $\mathcal{R}$. Suppose $F,G,H\colon \mathcal{R}\to \mathcal{R}$\break are three multiplicative (generalized)-derivations associated with the maps $\delta,g, h\colon \mathcal{R}
B. Dhara
doaj +3 more sources
Lie triple derivations of dihedron algebra
Frontiers in Physics, 2023 Let K be a 2-torsion free unital ring and D(K) be dihedron algebra over K. In the present article, we prove that every Lie triple derivation of D(K) can be written as the sum of the Lie triple derivation of K, Jordan triple derivation of K, and some ...
Minahal Arshad, Muhammad Mobeen Munir
doaj +1 more source
Characterization of Lie-Type Higher Derivations of von Neumann Algebras with Local Actions
Mathematics, 2023 Let m and n be fixed positive integers. Suppose that A is a von Neumann algebra with no central summands of type I1, and Lm:A→A is a Lie-type higher derivation.
Ab Hamid Kawa +4 more
doaj +1 more source
Linear maps on von Neumann algebras acting as Lie type derivation via local actions
AIMS Mathematics, 2021 Let $ \aleph $ be a factor von Neumann algebra with $ dim > 1 $ that operates on a Hilbert space. Within the manuscript, we let out the characterization of Lie type derivation on factor von Neumann algebra of zero product as well as at projection ...
Mohd Arif Raza +3 more
doaj +1 more source