Search
Search Results
-
b-generalized skew derivations acting on Lie ideals in prime rings
Let R be any noncommutative prime ring of char( R ) ≠ 2, 3, L a noncentral Lie ideal of R and F, G two nonzero b -generalized skew derivations of R ....
-
Differential Identities and Polynomial Growth of the Codimensions
Let A be an associative algebra over a field F of characteristic zero and let L be a Lie algebra over F . If L acts on A by derivations, then such an...
-
Envelo** Algebras of Krichever-Novikov Algebras are not Noetherian
This work is part of the overarching question of whether it is possible for the universal envelo** algebra of an infinite-dimensional Lie algebra...
-
A Generalization of Posner’s Theorem on Derivations in Rings
In this paper, we generalize the Posner’s theorem on derivations in rings as follows: Let R be an arbitrary ring, P be a prime ideal of R , and d be a...
-
On Centrally Extended Reverse and Generalized Reverse Derivations
In this paper, we define the notions of centrally-extended reverse derivations and centrally-extended generalized reverse derivations and discuss the...
-
Jordan Left {g, h}-Derivation over Some Algebras
In this article, left { g, h }-derivation and Jordan left { g, h }-derivation on algebras are introduced. It is shown that there is no Jordan left { g, h }-...
-
Differential Polynomial Identities of Upper Triangular Matrices Under the Action of the Two-Dimensional Metabelian Lie Algebra
We study the differential polynomial identities of the algebra U T m ( F ) under the derivation action of the two dimensional metabelian Lie algebra,...
-
Skew Derivations on Down-up Algebras
A class of skew derivations on complex Noetherian generalized down-up algebras L = L(f, r, s, γ) is constructed.
-
Reflection Groups and Rigidity of Quadratic Poisson Algebras
In this paper, we study the invariant theory of quadratic Poisson algebras. Let G be a finite group of the graded Poisson automorphisms of a...
-
Annihilators of Skew Derivations with Engel Conditions on Prime Rings
Let R be a noncommutative prime ring of characteristic different from 2, with its two-sided Martindale quotient ring Q , C the extended centroid of R ...
-
Derivations of group rings
Let R [ G ] be the group ring of a group G over an associative ring R with unity such that all prime divisors of orders of elements of G are invertible...
-
Lie (Jordan) derivations of arbitrary triangular algebras
In this paper we construct a triangular algebra from a given triangular algebra, using the notion of maximal left (right) ring of quotients. As an...
-
Deformation Quantization of Commutative Families and Vector Fields
We describe a series of cohomological obstructions for the deformation of involutive families of functions on a Poisson manifold and for the...
-
On two sided α-n-derivation in 3-prime near-rings
Let N be a left near-ring and let α be a function of N . We introduce the notion of two sided α - n -derivation and prove that a prime zero symmetric...
-
Higher Derivations of Finitary Incidence Algebras
Let P be a partially ordered set, R a commutative unital ring and F I ( P , R ) the finitary incidence algebra of P over R . We prove that each R -linear...